Prime p₀= 1691008299081128537 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: [AF>Libristes] Dudumomo
db: batch=79, k=12, 2 10 2 10 2 4

SPT(16)	1691007617428392463	0 6 16 36 58 88 106 156 160 210 228 258 280 300 310 316	-681652736074
TPT(14)	1691007744030353447	0 2 54 56 72 74 114 116 180 182 210 212 270 272	-555050775090
TPT(14)	1691008021604327561	0 2 36 38 78 80 90 92 168 170 246 248 258 260	-277476800976
STPT(10)	1691008021604327639	0 2 12 14 90 92 168 170 180 182	-277476800898
SPT(18)	1691008110519990881	0 92 150 152 168 180 246 288 302 306 320 362 428 440 456 458 516 608	-188561137656
SPT(16)	1691008140838872413	0 18 24 38 48 74 78 96 188 206 210 236 246 260 266 284	-158242256124
STPT(10)	1691008752821461679	0 2 48 50 90 92 132 134 180 182	453740333142
STPT(10)	1691008846782719279	0 2 12 14 30 32 48 50 60 62	547701590742
SPT(16)	1691008872765224147	0 20 24 32 44 56 62 66 80 84 90 102 114 122 126 146	573684095610
SPT(16)	1691008934936036819	0 12 32 54 74 80 102 120 122 140 162 168 188 210 230 242	635854908282
SPT(16)	1691008957828554739	0 4 40 42 58 90 130 162 250 282 322 354 370 372 408 412	658747426202