Prime p₀= 2531164501570243919 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 90 92
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: 92
Found by: samuraiii
db: batch=82, k=12, 2 16 2 22 2 4

SPT(16)	2531162741597125351	0 46 72 100 112 126 130 156 172 198 202 216 228 256 282 328	-1759973118568
STPT(10)	2531162792730125369	0 2 12 14 30 32 48 50 60 62	-1708840118550
SPT(16)	2531163140441583169	0 12 30 58 88 100 190 202 210 222 312 324 354 382 400 412	-1361128660750
SPT(16)	2531163334972108013	0 6 20 36 38 74 114 158 216 260 300 336 338 354 368 374	-1166598135906
SPT(16)	2531163415244866411	0 60 66 76 102 126 132 150 172 190 196 220 246 256 262 322	-1086325377508
STPT(10)	2531164046217503621	0 2 78 80 138 140 198 200 276 278	-455352740298
STPT(10)	2531164540364271347	0 2 30 32 42 44 54 56 84 86	38794027428
SPT(16)	2531164710617012117	0 96 110 116 200 224 230 264 266 300 306 330 414 420 434 530	209046768198
TPT(14)	2531164836662110511	0 2 18 20 30 32 78 80 90 92 156 158 186 188	335091866592
SPT(16)	2531164906506445327	0 4 34 46 52 82 96 112 114 130 144 174 180 192 222 226	404936201408
STPT(10)	2531164932803306711	0 2 6 8 18 20 30 32 36 38	431233062792