Prime p₀= 3091283961873779669 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 10 2 28 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 60 62 72 74 90 92
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: 92
Found by: herby44
db: batch=83, k=12, 2 16 2 10 2 28

SPT(16)	3091282837096397929	0 42 72 94 124 138 234 244 318 328 424 438 468 490 520 562	-1124777381740
STPT(10)	3091283320195584221	0 2 36 38 78 80 120 122 156 158	-641678195448
STPT(10)	3091283333158013099	0 2 78 80 120 122 162 164 240 242	-628715766570
SPT(16)	3091283364805818313	0 36 48 120 136 174 228 286 348 406 460 498 514 586 598 634	-597067961356
STPT(12)	3091283691377998559	0 2 18 20 42 44 78 80 102 104 120 122	-270495781110
TPT(14)	3091283961873779627	0 2 42 44 60 62 72 74 102 104 114 116 132 134	-42
SPT(16)	3091284285602877061	0 40 70 88 90 102 118 136 162 180 196 208 210 228 258 298	323729097392
SPT(16)	3091284809965564523	0 24 36 86 90 110 146 150 194 198 234 254 258 308 320 344	848091784854
SPT(16)	3091284853322254129	0 30 48 100 102 112 150 172 198 220 258 268 270 322 340 370	891448474460
SPT(16)	3091284899448343853	0 8 26 30 36 48 134 164 180 210 296 308 314 318 336 344	937574564184
STPT(10)	3091285431868012319	0 2 48 50 90 92 132 134 180 182	1469994232650