Prime p₀= 1961237054418993677 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: vinn@[CNT]
db: batch=80, k=12, 2 40 2 16 2 22

SPT(16)	1961234321709683807	0 2 20 42 44 62 80 140 156 216 234 252 254 276 294 296	-2732709309870
SPT(16)	1961235053852787523	0 6 18 46 180 196 208 210 304 306 318 334 468 496 508 514	-2000566206154
SPT(16)	1961236130197349351	0 2 36 80 90 132 140 146 156 162 170 212 222 266 300 302	-924221644326
STPT(10)	1961236446052954529	0 2 18 20 30 32 42 44 60 62	-608366039148
TPT(16)	1961236779023620667	0 2 84 86 132 134 240 242 270 272 294 296 504 506 552 554	-275395373010
STPT(10)	1961236860497075771	0 2 36 38 78 80 120 122 156 158	-193921917906
SPT(16)	1961237175908603707	0 90 102 114 132 160 210 234 322 346 396 424 442 454 466 556	121489610030
SPT(16)	1961237182343528009	0 8 32 60 78 120 152 180 200 228 260 302 320 348 372 380	127924534332
STPT(10)	1961237227715873717	0 2 30 32 42 44 54 56 84 86	173296880040
SPT(16)	1961237243298210401	0 6 18 56 96 116 138 206 252 320 342 362 402 440 452 458	188879216724
STPT(10)	1961237616081325247	0 2 30 32 42 44 54 56 84 86	561662331570