Prime p₀= 2903129393656027631 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 76 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 138 140 168 170 198 200
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: 200
Found by: Ben
db: batch=82, k=12, 2 28 2 28 2 76

STPT(10)	2903127617052156971	0 2 138 140 168 170 198 200 336 338	-1776603870660
SPT(16)	2903127627304867223	0 48 78 134 140 260 290 318 326 354 384 504 510 566 596 644	-1766351160408
TPT(14)	2903128502114765567	0 2 102 104 144 146 192 194 210 212 234 236 324 326	-891541262064
SPT(16)	2903128559282165723	0 48 78 98 146 158 168 176 300 308 318 330 378 398 428 476	-834373861908
SPT(16)	2903128743358226969	0 104 120 122 144 150 200 218 234 252 302 308 330 332 348 452	-650297800662
SPT(16)	2903128946116715053	0 30 36 66 78 100 108 156 190 238 246 268 280 310 316 346	-447539312578
STPT(10)	2903130318792220499	0 2 48 50 90 92 132 134 180 182	925136192868
TPT(14)	2903130501531792347	0 2 12 14 54 56 90 92 102 104 114 116 132 134	1107875764716
SPT(16)	2903130839647905703	0 58 70 90 118 210 238 256 270 288 316 408 436 456 468 526	1445991878072
SPT(16)	2903130927605836547	0 2 6 14 36 92 170 180 296 306 384 440 462 470 474 476	1533949808916
SPT(16)	2903131083308562203	0 14 38 48 80 126 144 158 216 230 248 294 326 336 360 374	1689652534572