Prime p₀= 1127407654363528607 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 82 2 34 2 82 2 58 2 (?)
a_n: 0 2 60 62 144 146 180 182 264 266 324 326
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: 326
Found by: crashtech
db: batch=76, k=12, 2 58 2 82 2 34

STPT(10)	1127406925432236857	0 2 72 74 102 104 132 134 204 206	-728931291750
STPT(10)	1127406961447930871	0 2 36 38 78 80 120 122 156 158	-692915597736
STPT(10)	1127406977074198589	0 2 18 20 30 32 42 44 60 62	-677289330018
SPT(18)	1127407495330705441	0 40 66 90 112 150 160 166 180 208 222 228 238 276 298 322 348 388	-159032823166
SPT(16)	1127407594462150069	0 54 60 78 90 172 228 250 252 274 330 412 424 442 448 502	-59901378538
SPT(16)	1127407635288227357	0 44 50 80 140 162 164 212 234 282 284 306 366 396 402 446	-19075301250
STPT(10)	1127407778737035977	0 2 30 32 42 44 54 56 84 86	124373507370
TPT(14)	1127408169171979139	0 2 18 20 42 44 90 92 102 104 132 134 240 242	514808450532
SPT(16)	1127408276410687309	0 34 42 52 54 64 100 108 124 132 168 178 180 190 198 232	622047158702
SPT(16)	1127408732392718641	0 12 28 78 90 112 118 130 210 222 228 250 262 312 328 340	1078029190034
STPT(10)	1127408776696210121	0 2 36 38 78 80 120 122 156 158	1122332681514