Prime p₀= 2564518297060499081 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 46 2 40 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 120 122 168 170 198 200
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: RFGuy_KCCO
db: batch=82, k=12, 2 28 2 46 2 40

STPT(10)	2564516594867611301	0 2 30 32 78 80 126 128 156 158	-1702192887780
STPT(10)	2564516782161793001	0 2 6 8 48 50 90 92 96 98	-1514898706080
STPT(10)	2564516855947857791	0 2 30 32 78 80 126 128 156 158	-1441112641290
SPT(16)	2564517008757902567	0 12 20 42 56 102 132 146 180 194 224 270 284 306 314 326	-1288302596514
SPT(16)	2564517860233585379	0 14 18 32 44 78 84 102 110 128 134 168 180 194 198 212	-436826913702
SPT(16)	2564518239303719687	0 36 50 86 126 146 182 186 230 234 270 290 330 366 380 416	-57756779394
SPT(16)	2564518323824987989	0 4 18 82 148 198 210 214 348 352 364 414 480 544 558 562	26764488908
STPT(10)	2564518540985952821	0 2 6 8 48 50 90 92 96 98	243925453740
SPT(16)	2564518998423146563	0 16 60 84 130 148 168 210 214 256 276 294 340 364 408 424	701362647482
SPT(16)	2564519381059219063	0 64 88 156 190 198 240 250 354 364 406 414 448 516 540 604	1083998719982
STPT(10)	2564519578468999157	0 2 30 32 42 44 54 56 84 86	1281408500076