Prime p₀= 1265367273751642847 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 40 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 102 104 120 122 162 164
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: 164
Found by: HenkM
db: batch=77, k=12, 2 40 2 16 2 40

STPT(10)	1265366385774898679	0 2 18 20 30 32 42 44 60 62	-887976744168
SPT(16)	1265366419460881609	0 18 40 60 82 84 172 190 222 240 328 330 352 372 394 412	-854290761238
SPT(16)	1265366879445715351	0 6 22 30 42 96 106 118 120 132 142 196 208 216 232 238	-394305927496
STPT(10)	1265366881676770391	0 2 36 38 78 80 120 122 156 158	-392074872456
SPT(16)	1265367012310747501	0 82 88 100 102 150 168 192 256 280 298 346 348 360 366 448	-261440895346
SPT(16)	1265367144327703007	0 120 126 140 182 206 236 290 336 390 420 444 486 500 506 626	-129423939840
STPT(10)	1265367405272027579	0 2 18 20 30 32 42 44 60 62	131520384732
STPT(10)	1265367845214802907	0 2 30 32 42 44 54 56 84 86	571463160060
SPT(16)	1265367987410100659	0 12 78 92 108 138 140 180 182 222 224 254 270 284 350 362	713658457812
SPT(16)	1265368225735878109	0 18 48 72 88 118 150 172 180 202 234 264 280 304 334 352	951984235262
STPT(10)	1265368797834316541	0 2 36 38 78 80 120 122 156 158	1524082673694