Prime p₀= 1975132339675224671 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 76 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 138 140 168 170 198 200
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: 200
Found by: Orange Kid
db: batch=80, k=12, 2 28 2 28 2 76

SPT(16)	1975131345045696791	0 38 56 92 108 122 150 176 192 218 246 260 276 312 330 368	-994629527880
STPT(10)	1975131360916925597	0 2 12 14 42 44 72 74 84 86	-978758299074
SPT(16)	1975131863569432037	0 30 66 84 134 282 290 354 392 456 464 612 662 680 716 746	-476105792634
SPT(16)	1975131990104194549	0 24 40 42 70 138 148 150 292 294 304 372 400 402 418 442	-349571030122
SPT(16)	1975132197927274819	0 30 88 124 132 210 292 294 298 300 382 460 468 504 562 592	-141747949852
SPT(16)	1975132222934659273	0 18 34 88 108 130 144 190 198 244 258 280 300 354 370 388	-116740565398
STPT(10)	1975132928749654109	0 2 18 20 60 62 102 104 120 122	589074429438
SPT(16)	1975133157449224093	0 18 28 46 60 70 76 88 138 150 156 166 180 198 208 226	817773999422
SPT(16)	1975133170854050161	0 10 16 28 30 48 52 66 82 96 100 118 120 132 138 148	831178825490
SPT(16)	1975133270468222971	0 10 42 46 130 138 162 208 210 256 280 288 372 376 408 418	930792998300
SPT(16)	1975133366873433829	0 34 40 58 88 112 154 160 222 228 270 294 324 342 348 382	1027198209158