Prime p₀= 2795710416463896287 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: UBT - Timbo
db: batch=82, k=12, 2 10 2 10 2 4

SPT(16)	2795709282893919013	0 66 76 90 118 130 138 144 250 256 264 276 304 318 328 394	-1133569977274
SPT(16)	2795709381359342179	0 4 12 18 28 34 42 84 88 130 138 144 154 160 168 172	-1035104554108
SPT(16)	2795709535290698423	0 18 48 56 60 90 126 200 216 290 326 356 360 368 398 416	-881173197864
STPT(10)	2795709784909232831	0 2 6 8 48 50 90 92 96 98	-631554663456
STPT(10)	2795709882459284771	0 2 36 38 78 80 120 122 156 158	-534004611516
STPT(10)	2795710044401968019	0 2 18 20 30 32 42 44 60 62	-372061928268
SPT(16)	2795710417792441111	0 36 40 42 46 76 166 238 300 372 462 492 496 498 502 538	1328544824
STPT(10)	2795710970432638787	0 2 42 44 72 74 102 104 144 146	553968742500
SPT(16)	2795711032959724861	0 16 108 126 130 142 150 172 216 238 246 258 262 280 372 388	616495828574
STPT(10)	2795711041400417351	0 2 30 32 78 80 126 128 156 158	624936521064
STPT(10)	2795711260292065457	0 2 24 26 42 44 60 62 84 86	843828169170