Prime p₀= 1086309702001885157 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 60 62 84 86
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: 86
Found by: [SG]ATA-Rolf
db: batch=76, k=12, 2 22 2 4 2 22

STPT(10)	1086308646967900721	0 2 30 32 78 80 126 128 156 158	-1055033984436
STPT(10)	1086308810767242869	0 2 42 44 120 122 198 200 240 242	-891234642288
SPT(16)	1086309211337801687	0 12 20 60 74 144 152 210 326 384 392 462 476 516 524 536	-490664083470
STPT(10)	1086309488959083197	0 2 12 14 42 44 72 74 84 86	-213042801960
SPT(16)	1086309614724343067	0 32 50 60 86 90 116 156 230 270 296 300 326 336 354 386	-87277542090
STPT(10)	1086309670601197307	0 2 42 44 72 74 102 104 144 146	-31400687850
SPT(16)	1086309719816237041	0 46 52 60 90 126 136 192 220 276 286 322 352 360 366 412	17814351884
SPT(16)	1086309825608984839	0 18 22 42 78 120 144 162 220 238 262 304 340 360 364 382	123607099682
STPT(10)	1086309863709562487	0 2 30 32 72 74 114 116 144 146	161707677330
SPT(16)	1086310123824751723	0 120 154 160 186 214 240 244 270 274 300 328 354 360 394 514	421822866566
STPT(10)	1086310849936934927	0 2 30 32 42 44 54 56 84 86	1147935049770