Prime p₀= 732752386322563889 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 34 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 78 80 102 104 120 122
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: 122
Found by: Theadalus
db: batch=73, k=12, 2 16 2 22 2 34

SPT(16)	732750947305731983	0 18 24 30 38 68 80 110 114 144 156 186 194 200 206 224	-1439016831906
STPT(10)	732751081749493949	0 2 18 20 30 32 42 44 60 62	-1304573069940
STPT(10)	732751621073981777	0 2 90 92 102 104 114 116 204 206	-765248582112
SPT(16)	732751871183759897	0 30 66 114 150 182 186 222 224 260 264 296 332 380 416 446	-515138803992
SPT(16)	732751898605417991	0 18 32 42 80 102 210 248 252 290 398 420 458 468 482 500	-487717145898
SPT(16)	732752311878850381	0 60 66 70 72 76 108 132 136 160 192 196 198 202 208 268	-74443713508
SPT(16)	732752737860642407	0 6 32 132 140 146 174 212 294 332 360 366 374 474 500 506	351538078518
STPT(10)	732752889425320721	0 2 156 158 168 170 180 182 336 338	503102756832
SPT(16)	732752931623046151	0 6 16 60 70 82 88 130 138 180 186 198 208 252 262 268	545300482262
SPT(16)	732753244058767199	0 78 98 120 144 168 182 212 240 270 284 308 332 354 374 452	857736203310
STPT(10)	732753361112919899	0 2 18 20 30 32 42 44 60 62	974790356010