Prime p₀= 2178722029379747009 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 166 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 210 212 240 242 252 254
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: 254
Found by: [SG-FC] hl
db: batch=81, k=12, 2 10 2 28 2 166

SPT(16)	2178720663125605999	0 4 64 70 72 102 148 178 204 234 280 310 312 318 378 382	-1366254141010
SPT(16)	2178721222542448777	0 6 40 76 162 222 250 270 316 336 364 424 510 546 580 586	-806837298232
SPT(16)	2178721243238595871	0 6 12 28 106 148 162 210 238 286 300 342 420 436 442 448	-786141151138
SPT(16)	2178721322548758341	0 30 56 78 98 128 132 138 170 176 180 210 230 252 278 308	-706830988668
STPT(10)	2178721365900341189	0 2 48 50 90 92 132 134 180 182	-663479405820
SPT(16)	2178721947926147147	0 90 150 192 212 240 242 314 402 474 476 504 524 566 626 716	-81453599862
SPT(16)	2178722406302257853	0 30 38 104 108 114 134 164 174 204 224 230 234 300 308 338	376922510844
STPT(10)	2178722646337866521	0 2 6 8 48 50 90 92 96 98	616958119512
STPT(10)	2178722717377198511	0 2 36 38 78 80 120 122 156 158	687997451502
STPT(10)	2178722805324377027	0 2 60 62 72 74 84 86 144 146	775944630018
STPT(10)	2178722879637278477	0 2 24 26 42 44 60 62 84 86	850257531468