Prime p₀= 2515626687973366727 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=12, 2 40 2 16 2 22

TPT(14)	2515625710762886789	0 2 12 14 60 62 90 92 168 170 240 242 270 272	-977210479938
TPT(14)	2515625880522267281	0 2 30 32 138 140 150 152 156 158 228 230 240 242	-807451099446
SPT(16)	2515625902401731747	0 20 24 60 80 90 96 140 276 320 326 336 356 392 396 416	-785571634980
SPT(16)	2515626016966445731	0 22 36 46 76 102 138 208 210 280 316 342 372 382 396 418	-671006920996
STPT(10)	2515626046124782709	0 2 18 20 30 32 42 44 60 62	-641848584018
SPT(16)	2515626291964520249	0 8 12 60 98 120 140 212 228 300 320 342 380 428 432 440	-396008846478
SPT(16)	2515626688659339719	0 2 24 44 72 80 122 128 144 150 192 200 228 248 270 272	685972992
SPT(16)	2515627047946958557	0 24 30 82 94 126 132 150 166 184 190 222 234 286 292 316	359973591830
STPT(10)	2515627128843156239	0 2 18 20 30 32 42 44 60 62	440869789512
STPT(10)	2515628362419930347	0 2 72 74 102 104 132 134 204 206	1674446563620
SPT(16)	2515628465681536169	0 12 18 32 48 72 98 110 132 144 170 194 210 224 230 242	1777708169442