Prime p₀= 1532714901589368191 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 64 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 126 128 156 158 186 188
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: 188
Found by: Theadalus
db: batch=78, k=12, 2 28 2 28 2 64

SPT(16)	1532713937553057263	0 14 36 56 110 134 140 146 294 300 306 330 384 404 426 440	-964036310928
TPT(14)	1532714224388191457	0 2 174 176 294 296 384 386 534 536 552 554 732 734	-677201176734
STPT(10)	1532714445261209381	0 2 78 80 108 110 138 140 216 218	-456328158810
SPT(16)	1532714488149171703	0 46 48 90 96 124 126 166 168 208 210 238 244 286 288 334	-413440196488
SPT(16)	1532714496032496961	0 10 18 22 30 106 112 148 150 186 192 268 276 280 288 298	-405556871230
STPT(10)	1532714678700854819	0 2 18 20 60 62 102 104 120 122	-222888513372
SPT(16)	1532715361754206639	0 42 52 172 240 258 262 282 340 360 364 382 450 570 580 622	460164838448
SPT(16)	1532715460271808937	0 10 36 46 54 60 70 102 154 186 196 202 210 220 246 256	558682440746
SPT(18)	1532715633806458097	0 36 42 72 80 86 126 132 150 152 170 176 216 222 230 260 266 302	732217089906
SPT(16)	1532715744305957903	0 20 84 108 156 158 206 224 240 258 306 308 356 380 444 464	842716589712
SPT(16)	1532716310737418879	0 2 14 20 24 74 174 182 300 308 408 458 462 468 480 482	1409148050688