Prime p₀= 1077920330343212051 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 64 2 22 2 34 2 22 2 64 2 (?)
a_n: 0 2 66 68 90 92 126 128 150 152 216 218
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: 218
Found by: vinn@[CNT]
db: batch=76, k=12, 2 64 2 22 2 34

STPT(10)	1077919319282262167	0 2 60 62 72 74 84 86 144 146	-1011060949884
TPT(14)	1077919591539206189	0 2 12 14 42 44 72 74 90 92 102 104 180 182	-738804005862
SPT(16)	1077919640159194577	0 12 42 54 72 96 104 114 122 132 140 164 182 194 224 236	-690184017474
STPT(10)	1077920246753862287	0 2 12 14 42 44 72 74 84 86	-83589349764
SPT(16)	1077920263558078289	0 12 44 164 194 198 284 312 320 348 434 438 468 588 620 632	-66785133762
SPT(18)	1077920272614282143	0 68 120 144 168 176 194 210 216 308 314 330 348 356 380 404 456 524	-57728929908
SPT(16)	1077920378080002113	0 96 116 140 164 210 216 230 354 368 374 420 444 468 488 584	47736790062
SPT(16)	1077920721516969971	0 2 62 72 90 98 156 182 186 212 270 278 296 306 366 368	391173757920
TPT(14)	1077920914022206409	0 2 72 74 108 110 138 140 192 194 198 200 210 212	583678994358
SPT(16)	1077921126628554281	0 20 72 78 110 138 146 152 156 162 170 198 230 236 288 308	796285342230
STPT(10)	1077921216754545311	0 2 30 32 78 80 126 128 156 158	886411333260