Prime p₀= 2912026908507248627 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: Landjunge
db: batch=82, k=12, 2 40 2 16 2 22

TPT(16)	2912025754631774969	0 2 12 14 108 110 138 140 198 200 312 314 378 380 390 392	-1153875473658
SPT(16)	2912026049427858227	0 44 56 86 104 134 186 210 260 284 336 366 384 414 426 470	-859079390400
STPT(10)	2912026053407142611	0 2 36 38 78 80 120 122 156 158	-855100106016
STPT(10)	2912026078298870381	0 2 36 38 78 80 120 122 156 158	-830208378246
SPT(16)	2912026107243837641	0 2 30 50 72 92 98 122 156 180 186 206 228 248 276 278	-801263410986
STPT(10)	2912026743834489947	0 2 30 32 42 44 54 56 84 86	-164672758680
SPT(16)	2912026960330306459	0 4 34 58 60 70 82 88 114 120 132 142 144 168 198 202	51823057832
SPT(16)	2912027082404119027	0 36 40 52 66 96 106 124 132 150 160 190 204 216 220 256	173896870400
SPT(16)	2912027562708102841	0 6 46 48 52 66 168 192 256 280 382 396 400 402 442 448	654200854214
STPT(10)	2912027749503094217	0 2 30 32 72 74 114 116 144 146	840995845590
SPT(16)	2912027760060345307	0 30 34 40 64 76 132 184 222 274 330 342 366 372 376 406	851553096680