Prime p₀= 2462500586719219259 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 28 2 10 2 28 2 46 2 (?)
a_n: 0 2 48 50 78 80 90 92 120 122 168 170
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 46 2 28 2 10

SPT(16)	2462499246301267067	0 30 32 56 60 66 72 90 122 140 146 152 156 180 182 212	-1340417952192
SPT(16)	2462499831345193589	0 20 32 54 92 102 110 132 152 174 182 192 230 252 264 284	-755374025670
SPT(16)	2462499887723503171	0 36 76 82 96 102 130 190 192 252 280 286 300 306 346 382	-698995716088
SPT(16)	2462499918990624437	0 2 72 80 84 86 92 126 200 234 240 242 246 254 324 326	-667728594822
STPT(10)	2462499929622752441	0 2 36 38 78 80 120 122 156 158	-657096466818
SPT(18)	2462500586021468693	0 26 56 78 108 120 134 138 176 198 236 240 254 266 296 318 348 374	-697750566
STPT(10)	2462500768785101621	0 2 90 92 150 152 210 212 300 302	182065882362
SPT(16)	2462500909517387107	0 36 42 52 84 124 186 220 306 340 402 442 474 484 490 526	322798167848
SPT(16)	2462501459873553383	0 6 80 104 108 110 120 138 146 164 174 176 180 204 278 284	873154334124
STPT(10)	2462501480665503437	0 2 30 32 42 44 54 56 84 86	893946284178
STPT(10)	2462501744945190197	0 2 12 14 42 44 72 74 84 86	1158225970938