Prime p₀= 480277959623757881 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 32 18 18 34 30 68 30 22 50 16 50 22 30 68 30 34 18 18 32 (?)
a_n: 0 32 50 68 102 132 200 230 252 302 318 368 390 420 488 518 552 570 588 620
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: 620
Found by: UBT - Timbo
db: batch=70, k=20, 32 18 18 34 30 68 30 22 50 16

SPT(16)	480277913751795751	0 30 60 76 126 130 132 160 252 280 282 286 336 352 382 412	-45871962130
SPT(16)	480277919471992819	0 4 58 64 78 94 108 130 132 154 168 184 198 204 258 262	-40151765062
SPT(14)	480277945151780183	0 6 66 126 128 134 170 204 240 246 248 308 368 374	-14471977698
TPT(12)	480277946198420141	0 2 36 38 210 212 228 230 288 290 378 380	-13425337740
TPT(12)	480277952686124597	0 2 42 44 240 242 270 272 294 296 312 314	-6937633284
TPT(12)	480277958777596841	0 2 108 110 120 122 180 182 198 200 288 290	-846161040
SPT(14)	480277962230748811	0 76 90 178 180 202 208 210 216 238 240 328 342 418	2606990930
SPT(14)	480277990879880287	0 12 52 160 196 210 262 264 316 330 366 474 514 526	31256122406
SPT(14)	480277993207833599	0 30 48 72 80 108 128 162 182 210 218 242 260 290	33584075718
SPT(14)	480278007192846409	0 24 28 60 84 88 94 144 150 154 178 210 214 238	47569088528
TPT(12)	480278007193570967	0 2 12 14 234 236 294 296 372 374 402 404	47569813086