Prime p₀= 2275275914642160917 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
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: 104
Found by: Orange Kid
db: batch=81, k=12, 2 10 2 28 2 16

SPT(16)	2275274866658697877	0 30 42 54 70 96 102 166 270 334 340 366 382 394 406 436	-1047983463040
STPT(10)	2275275241846371641	0 2 30 32 60 62 90 92 120 122	-672795789276
SPT(16)	2275275499943390309	0 18 32 50 54 134 158 180 182 204 228 308 312 330 344 362	-414698770608
STPT(10)	2275275537949302839	0 2 18 20 30 32 42 44 60 62	-376692858078
SPT(16)	2275275621769618981	0 16 22 30 52 66 78 88 90 100 112 126 148 156 162 178	-292872541936
STPT(10)	2275275752985755579	0 2 42 44 90 92 138 140 180 182	-161656405338
TPT(14)	2275275932495792717	0 2 12 14 30 32 54 56 72 74 150 152 162 164	17853631800
STPT(10)	2275275935321511737	0 2 24 26 42 44 60 62 84 86	20679350820
TPT(14)	2275276466540259041	0 2 138 140 210 212 228 230 270 272 390 392 528 530	551898098124
STPT(10)	2275276564490703857	0 2 30 32 72 74 114 116 144 146	649848542940
SPT(16)	2275276572510482249	0 18 60 80 92 140 158 174 218 234 252 300 312 332 374 392	657868321332