Prime p₀= 2157813026000841089 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 40 2 34 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 138 140 180 182 240 242
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 242
Found by: Landjunge
db: batch=81, k=12, 2 58 2 40 2 34

STPT(10)	2157811550782308389	0 2 48 50 90 92 132 134 180 182	-1475218532700
SPT(18)	2157811738134273097	0 6 10 30 70 126 132 160 162 184 186 214 220 276 316 336 340 346	-1287866567992
SPT(16)	2157812240689611799	0 34 42 60 88 102 130 172 210 252 280 294 322 340 348 382	-785311229290
SPT(16)	2157812569470433943	0 6 8 20 78 86 138 188 288 338 390 398 456 468 470 476	-456530407146
TPT(14)	2157812578006095551	0 2 6 8 48 50 78 80 90 92 186 188 288 290	-447994745538
STPT(10)	2157812608316026967	0 2 30 32 42 44 54 56 84 86	-417684814122
SPT(16)	2157813085554720691	0 6 10 52 60 70 96 130 138 172 198 208 216 258 262 268	59553879602
SPT(16)	2157813199280060303	0 24 44 50 66 98 128 156 218 246 276 308 324 330 350 374	173279219214
SPT(16)	2157813200870965423	0 10 84 100 120 144 148 154 234 240 244 268 288 304 378 388	174870124334
SPT(16)	2157813272194577993	0 6 8 14 36 48 56 80 84 108 116 128 150 156 158 164	246193736904
SPT(16)	2157813565412818361	0 2 6 26 32 90 138 140 198 200 248 306 312 332 336 338	539411977272