Prime p₀= 749185745717655989 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 76 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 150 152 210 212 222 224
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: 224
Found by: Theadalus
db: batch=73, k=12, 2 10 2 58 2 76

SPT(16)	749184578660642681	0 6 30 32 42 72 90 120 152 182 200 230 240 242 266 272	-1167057013308
SPT(16)	749184818428614977	0 6 12 24 26 44 80 90 146 156 192 210 212 224 230 236	-927289041012
STPT(10)	749185075366468859	0 2 18 20 30 32 42 44 60 62	-670351187130
SPT(16)	749185162511250427	0 36 132 172 196 286 310 342 364 396 420 510 534 574 670 706	-583206405562
SPT(16)	749185359082046987	0 2 6 80 86 132 140 156 200 216 224 270 276 350 354 356	-386635609002
SPT(16)	749185396103310389	0 32 42 68 80 104 144 158 264 278 318 342 354 380 390 422	-349614345600
SPT(16)	749185892213952847	0 30 54 66 70 82 120 142 174 196 234 246 250 262 286 316	146496296858
TPT(14)	749186317814779841	0 2 6 8 66 68 96 98 126 128 150 152 168 170	572097123852
SPT(16)	749186447007126761	0 66 110 120 146 152 168 206 222 260 276 282 308 318 362 428	701289470772
STPT(10)	749186568966851957	0 2 30 32 42 44 54 56 84 86	823249195968
STPT(10)	749186672184203987	0 2 30 32 42 44 54 56 84 86	926466547998