Prime p₀= 1117667967239018213 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 10 38 16 60 66 30 14 30 66 60 16 38 10 20 (?)
a_n: 0 20 30 68 84 144 210 240 254 284 350 410 426 464 474 494
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 494
Found by: Theadalus
db: batch=76, k=16, 20 10 38 16 60 66 30 14

SPT(16)	1117667485981972973	0 14 60 108 134 144 150 158 210 218 224 234 260 308 354 368	-481257045240
SPT(16)	1117667512517209421	0 20 26 36 50 158 218 230 258 270 330 438 452 462 468 488	-454721808792
SPT(16)	1117667737645829081	0 32 38 48 62 96 108 138 230 260 272 306 320 330 336 368	-229593189132
STPT(10)	1117667753108122001	0 2 30 32 60 62 90 92 120 122	-214130896212
SPT(16)	1117667793486038413	0 40 54 58 64 124 138 180 394 436 450 510 516 520 534 574	-173752979800
SPT(16)	1117667904101237999	0 2 24 30 32 38 80 90 122 132 174 180 182 188 210 212	-63137780214
STPT(10)	1117668315772808477	0 2 30 32 42 44 54 56 84 86	348533790264
SPT(16)	1117668419106775801	0 66 70 82 96 102 156 180 298 322 376 382 396 408 412 478	451867757588
SPT(16)	1117668434513474947	0 34 54 96 124 132 204 220 276 292 364 372 400 442 462 496	467274456734
SPT(16)	1117668665915112167	0 20 30 54 84 104 110 114 146 150 156 176 206 230 240 260	698676093954
SPT(16)	1117668705924953179	0 4 12 48 54 64 130 138 154 162 228 238 244 280 288 292	738685934966