Prime p₀= 2862506199952575791 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 46 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 108 110 138 140 168 170
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: 170
Found by: JayPi
db: batch=82, k=12, 2 28 2 28 2 46

SPT(16)	2862504385935327857	0 66 84 86 96 114 146 216 254 324 356 374 384 386 404 470	-1814017247934
STPT(10)	2862504478682522591	0 2 30 32 78 80 126 128 156 158	-1721270053200
SPT(16)	2862504479539103687	0 2 32 44 54 72 96 110 126 140 164 182 192 204 234 236	-1720413472104
SPT(16)	2862504559391171239	0 28 42 48 100 174 180 184 198 202 208 282 334 340 354 382	-1640561404552
STPT(10)	2862505365045402017	0 2 30 32 42 44 54 56 84 86	-834907173774
TPT(14)	2862505868588190521	0 2 48 50 138 140 156 158 168 170 180 182 210 212	-331364385270
STPT(10)	2862506296100780669	0 2 18 20 30 32 42 44 60 62	96148204878
TPT(14)	2862506297195225099	0 2 12 14 72 74 102 104 150 152 198 200 210 212	97242649308
SPT(16)	2862506531745999043	0 36 58 100 148 154 178 184 300 306 330 336 384 426 448 484	331793423252
STPT(10)	2862506586264740417	0 2 30 32 60 62 90 92 120 122	386312164626
TPT(14)	2862506766576409529	0 2 90 92 120 122 222 224 288 290 300 302 348 350	566623833738