Prime p₀= 1286062998691460849 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 64 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 138 140 198 200 210 212
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: 212
Found by: mikey
db: batch=77, k=12, 2 10 2 58 2 64

SPT(16)	1286061733923162107	0 30 32 42 72 86 90 162 170 242 246 260 290 300 302 332	-1264768298742
TPT(16)	1286061968895999257	0 2 54 56 84 86 132 134 144 146 180 182 222 224 240 242	-1029795461592
STPT(10)	1286062402841395469	0 2 12 14 90 92 168 170 180 182	-595850065380
SPT(16)	1286062452341193883	0 6 88 130 174 196 214 220 234 240 258 280 324 366 448 454	-546350266966
STPT(10)	1286062605552158849	0 2 48 50 60 62 72 74 120 122	-393139302000
SPT(16)	1286062923836343391	0 40 60 142 162 168 246 280 468 502 580 586 606 688 708 748	-74855117458
SPT(16)	1286063252538485353	0 6 48 84 88 108 130 144 160 174 196 216 220 256 298 304	253847024504
STPT(10)	1286063418217731617	0 2 90 92 102 104 114 116 204 206	419526270768
SPT(16)	1286063641172740753	0 36 114 186 208 234 264 268 276 280 310 336 358 430 508 544	642481279904
SPT(16)	1286063672480072719	0 22 24 52 58 70 72 84 88 100 102 114 120 148 150 172	673788611870
SPT(16)	1286063790019016233	0 18 36 58 60 70 106 156 280 330 366 376 378 400 418 436	791327555384