Prime p₀= 2628967439463492131 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 58 2 4 2 58 2 28 2 (?)
a_n: 0 2 30 32 90 92 96 98 156 158 186 188
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: 188
Found by: raddoc
db: batch=82, k=12, 2 28 2 58 2 4

TPT(14)	2628966311023964909	0 2 90 92 138 140 258 260 270 272 348 350 420 422	-1128439527222
SPT(16)	2628966386255054161	0 18 28 42 60 82 88 96 172 180 186 208 226 240 250 268	-1053208437970
SPT(16)	2628966576936398879	0 14 38 42 50 60 74 108 134 168 182 192 200 204 228 242	-862527093252
SPT(16)	2628966616759244497	0 30 36 42 46 72 106 142 150 186 220 246 250 256 262 292	-822704247634
TPT(14)	2628966626059896179	0 2 30 32 78 80 168 170 180 182 192 194 198 200	-813403595952
STPT(10)	2628967419006386147	0 2 30 32 42 44 54 56 84 86	-20457105984
SPT(16)	2628967974877811243	0 6 8 78 120 134 174 228 266 320 360 374 416 486 488 494	535414319112
STPT(10)	2628968585880455627	0 2 84 86 132 134 180 182 264 266	1146416963496
SPT(16)	2628968603671227073	0 34 40 46 70 100 114 174 196 256 270 300 324 330 336 370	1164207734942
TPT(14)	2628968816729433719	0 2 72 74 90 92 102 104 162 164 210 212 288 290	1377265941588
SPT(16)	2628968858571774263	0 48 54 68 74 98 108 116 138 146 156 180 186 200 206 254	1419108282132