Prime p₀= 1180018500874434127 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 4 26 82 20 12 10 8 4 20 124 20 4 8 10 12 20 82 26 4 (?)
a_n: 0 4 30 112 132 144 154 162 166 186 310 330 334 342 352 364 384 466 492 496
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 496
derived by truncating larger tuple
Found by: Theadalus
db: batch=77, k=20, 4 26 82 20 12 10 8 4 20 124

SPT(16)	1180017691997285443	0 24 66 130 144 168 190 210 274 294 316 340 354 418 460 484	-808877148684
TPT(14)	1180017856371193289	0 2 48 50 60 62 90 92 270 272 300 302 312 314	-644503240838
STPT(12)	1180017856371193337	0 2 12 14 42 44 222 224 252 254 264 266	-644503240790
STPT(10)	1180018289614146737	0 2 30 32 42 44 54 56 84 86	-211260287390
SPT(16)	1180018413338276201	0 8 62 110 162 188 216 252 266 302 330 356 408 456 510 518	-87536157926
SPT(22)	1180018500874434103	0 24 28 54 136 156 168 178 186 190 210 334 354 358 366 376 388 408 490 516 520 544	-24
STPT(10)	1180018571136911279	0 2 42 44 90 92 138 140 180 182	70262477152
SPT(16)	1180019114253834389	0 8 68 78 138 182 212 222 320 330 360 404 464 474 534 542	613379400262
SPT(16)	1180019350019064613	0 16 18 48 58 66 94 100 204 210 238 246 256 286 288 304	849144630486
SPT(18)	1180019487692117929	0 114 138 184 220 240 268 384 418 420 454 570 598 618 654 700 724 838	986817683802
STPT(12)	1180019895470531579	0 2 72 74 162 164 168 170 258 260 330 332	1394596097452
SPT(16)	1180020036482845711	0 6 40 66 88 90 108 132 136 160 178 180 202 228 262 268	1535608411584