Prime p₀= 2725969233475016741 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 40 2 88 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 168 170 210 212 246 248
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: 248
Found by: JayPi
db: batch=82, k=12, 2 34 2 40 2 88

STPT(10)	2725967694884890031	0 2 36 38 78 80 120 122 156 158	-1538590126710
SPT(16)	2725967764359952031	0 2 62 86 96 108 140 192 506 558 590 602 612 636 696 698	-1469115064710
STPT(10)	2725967903608349399	0 2 18 20 30 32 42 44 60 62	-1329866667342
STPT(10)	2725968187202011247	0 2 60 62 72 74 84 86 144 146	-1046273005494
SPT(16)	2725968652578478289	0 14 20 24 42 48 72 98 114 140 164 170 188 192 198 212	-580896538452
SPT(16)	2725968791458306369	0 10 82 94 112 138 184 204 268 288 334 360 378 390 462 472	-442016710372
STPT(10)	2725969251755943629	0 2 42 44 60 62 78 80 120 122	18280926888
SPT(16)	2725969368519602207	0 32 44 90 116 120 132 182 204 254 266 270 296 342 354 386	135044585466
SPT(16)	2725970316887575369	0 28 82 108 124 160 174 204 208 238 252 288 304 330 384 412	1083412558628
STPT(10)	2725970618912462417	0 2 60 62 72 74 84 86 144 146	1385437445676
STPT(10)	2725970708053777139	0 2 42 44 90 92 138 140 180 182	1474578760398