Prime p₀= 2628963156132720257 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 22 2 34 2 22 2 28 2 (?)
a_n: 0 2 30 32 54 56 90 92 114 116 144 146
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 28 2 22 2 34

SPT(16)	2628962604036086347	0 40 52 54 66 94 112 130 186 204 222 250 262 264 276 316	-552096633910
TPT(14)	2628962715940704989	0 2 60 62 138 140 180 182 390 392 492 494 588 590	-440192015268
SPT(16)	2628962779737630071	0 26 32 38 60 66 98 102 116 120 152 158 180 186 192 218	-376395090186
STPT(12)	2628963003768270989	0 2 108 110 138 140 180 182 210 212 318 320	-152364449268
STPT(10)	2628963008924530247	0 2 54 56 72 74 90 92 144 146	-147208190010
STPT(10)	2628963024331124009	0 2 12 14 90 92 168 170 180 182	-131801596248
STPT(10)	2628963503184673337	0 2 42 44 72 74 102 104 144 146	347051953080
SPT(16)	2628963563907501539	0 98 110 120 164 180 182 224 228 270 272 288 332 342 354 452	407774781282
STPT(10)	2628963764509569029	0 2 48 50 90 92 132 134 180 182	608376848772
SPT(16)	2628964507842748919	0 30 44 134 180 228 240 260 288 308 320 368 414 504 518 548	1351710028662
STPT(10)	2628964712848829357	0 2 30 32 72 74 114 116 144 146	1556716109100