Prime p₀= 2157936139237101329 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 4 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 78 80 138 140 150 152
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: 152
Found by: Landjunge
db: batch=81, k=12, 2 10 2 58 2 4

SPT(16)	2157933398043220909	0 24 34 40 42 60 88 90 172 174 202 220 222 228 238 262	-2741193880420
SPT(16)	2157933434491493357	0 6 26 62 74 84 86 140 156 210 212 222 234 270 290 296	-2704745607972
SPT(16)	2157934151103131887	0 16 22 36 82 84 154 180 226 252 322 324 370 384 390 406	-1988133969442
SPT(16)	2157934159961846579	0 18 42 48 68 78 140 144 308 312 374 384 404 410 434 452	-1979275254750
TPT(14)	2157935179709686649	0 2 30 32 180 182 252 254 312 314 348 350 438 440	-959527414680
SPT(16)	2157935844484121311	0 30 58 96 112 120 130 186 232 288 298 306 322 360 388 418	-294752980018
STPT(10)	2157936367133156549	0 2 42 44 60 62 78 80 120 122	227896055220
SPT(16)	2157936905670658877	0 32 84 120 140 174 176 186 230 240 242 276 296 332 384 416	766433557548
SPT(16)	2157937015242223253	0 8 36 44 56 80 114 126 128 140 174 198 210 218 246 254	876005121924
STPT(10)	2157937381130566331	0 2 6 8 18 20 30 32 36 38	1241893465002
SPT(16)	2157937413660318427	0 76 90 132 144 166 174 186 190 202 210 232 244 286 300 376	1274423217098