Prime p₀= 1257843632431505087 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 76 2 40 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 132 134 210 212 222 224
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: 224
Found by: Theadalus
db: batch=77, k=12, 2 10 2 76 2 40

TPT(14)	1257842885894830559	0 2 42 44 102 104 120 122 132 134 198 200 228 230	-746536674528
SPT(16)	1257843031090648111	0 22 28 36 72 90 102 148 180 226 238 256 292 300 306 328	-601340856976
SPT(16)	1257843260199998917	0 30 54 106 130 142 156 190 246 280 294 306 330 382 406 436	-372231506170
SPT(16)	1257843304396050863	0 14 18 38 44 116 126 156 248 278 288 360 366 386 390 404	-328035454224
TPT(14)	1257843455190794609	0 2 12 14 18 20 60 62 168 170 198 200 222 224	-177240710478
SPT(16)	1257843625448475187	0 52 66 70 72 84 154 180 196 222 292 304 306 310 324 376	-6983029900
STPT(10)	1257843706994704901	0 2 30 32 78 80 126 128 156 158	74563199814
SPT(16)	1257843842139779299	0 10 54 72 82 124 132 150 202 220 228 270 280 298 342 352	209708274212
SPT(16)	1257844019026630927	0 16 24 66 124 126 132 154 162 184 190 192 250 292 300 316	386595125840
STPT(10)	1257844332839866799	0 2 18 20 30 32 42 44 60 62	700408361712
STPT(10)	1257844479211262021	0 2 30 32 78 80 126 128 156 158	846779756934