Prime p₀= 2315622468883542317 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
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: 134
Found by: WTBroughton
db: batch=81, k=12, 2 28 2 10 2 46

SPT(16)	2315621246960793461	0 20 26 42 72 132 138 180 188 230 236 296 326 342 348 368	-1221922748856
SPT(16)	2315621459680727551	0 16 22 112 196 322 360 400 408 448 486 612 696 786 792 808	-1009202814766
SPT(16)	2315621838900295127	0 2 30 44 56 66 80 90 146 156 170 180 192 206 234 236	-629983247190
STPT(10)	2315621891539673999	0 2 42 44 60 62 78 80 120 122	-577343868318
SPT(16)	2315621957038172891	0 36 78 92 150 210 216 318 320 422 428 488 546 560 602 638	-511845369426
TPT(14)	2315622058806024611	0 2 30 32 126 128 168 170 198 200 276 278 366 368	-410077517706
SPT(16)	2315622756636157697	0 2 32 36 44 56 60 114 122 176 180 192 200 204 234 236	287752615380
SPT(16)	2315622958213376657	0 44 54 126 146 180 242 266 270 294 356 390 410 482 492 536	489329834340
SPT(16)	2315623307303120341	0 10 22 28 36 48 66 72 106 112 130 142 150 156 168 178	838419578024
SPT(16)	2315623332994992151	0 22 70 102 126 160 162 196 222 256 258 292 316 348 396 418	864111449834
STPT(10)	2315623355771263061	0 2 108 110 138 140 168 170 276 278	886887720744