Prime p₀= 2375270573677872851 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 34 2 142 2 34 2 28 2 (?)
a_n: 0 2 30 32 66 68 210 212 246 248 276 278
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: 278
Found by: Landjunge
db: batch=81, k=12, 2 28 2 34 2 142

SPT(16)	2375269395624475081	0 12 30 76 112 120 130 142 186 198 208 216 252 298 316 328	-1178053397770
SPT(16)	2375269444031873777	0 14 56 72 92 104 120 122 174 176 192 204 224 240 282 296	-1129645999074
STPT(10)	2375269731574952897	0 2 24 26 42 44 60 62 84 86	-842102919954
SPT(16)	2375269864636588739	0 24 30 44 84 114 122 144 260 282 290 320 360 374 380 404	-709041284112
SPT(16)	2375269979469708833	0 24 66 84 128 158 218 240 254 276 336 366 410 428 470 494	-594208164018
STPT(10)	2375270306110361711	0 2 6 8 18 20 30 32 36 38	-267567511140
STPT(10)	2375270860593954437	0 2 90 92 102 104 114 116 204 206	286916081586
SPT(16)	2375270917252566947	0 26 32 54 80 110 132 162 164 194 216 246 272 294 300 326	343574694096
STPT(10)	2375270933050687877	0 2 72 74 102 104 132 134 204 206	359372815026
SPT(16)	2375271065695639729	0 10 30 48 52 60 70 88 132 150 160 168 172 190 210 220	492017766878
SPT(16)	2375271840038198323	0 36 40 54 78 154 166 180 304 318 330 406 430 444 448 484	1266360325472