Prime p₀= 2212171568242408217 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 34 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 90 92 132 134 144 146
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: 146
Found by: Landjunge
db: batch=81, k=12, 2 10 2 40 2 34

SPT(16)	2212170247899742267	0 30 46 100 112 126 166 196 216 246 286 300 312 366 382 412	-1320342665950
SPT(16)	2212170274963121509	0 58 60 72 100 112 168 234 268 334 390 402 430 442 444 502	-1293279286708
STPT(10)	2212170745714319627	0 2 30 32 42 44 54 56 84 86	-822528088590
STPT(10)	2212170769929349091	0 2 30 32 78 80 126 128 156 158	-798313059126
TPT(14)	2212170816801606587	0 2 24 26 42 44 90 92 192 194 300 302 342 344	-751440801630
STPT(10)	2212171263099857951	0 2 78 80 108 110 138 140 216 218	-305142550266
STPT(10)	2212171779250009271	0 2 30 32 60 62 90 92 120 122	211007601054
SPT(16)	2212171805234073061	0 12 18 40 46 58 82 100 108 126 150 162 168 190 196 208	236991664844
STPT(10)	2212172176887499961	0 2 36 38 78 80 120 122 156 158	608645091744
SPT(16)	2212172422571959933	0 24 28 46 54 66 88 126 148 186 208 220 228 246 250 274	854329551716
SPT(16)	2212172969778813473	0 6 18 24 26 38 120 138 146 164 246 258 260 266 278 284	1401536405256