Prime p₀= 2309957325954755537 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 34 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 90 92 132 134 144 146
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: FritzB
db: batch=81, k=12, 2 10 2 40 2 34

STPT(10)	2309955453528909881	0 2 30 32 60 62 90 92 120 122	-1872425845656
STPT(10)	2309955543868816841	0 2 6 8 48 50 90 92 96 98	-1782085938696
SPT(16)	2309955682384380139	0 40 48 54 84 90 120 130 162 172 202 208 238 244 252 292	-1643570375398
STPT(10)	2309956925462576417	0 2 30 32 42 44 54 56 84 86	-400492179120
STPT(10)	2309956967847128021	0 2 36 38 78 80 120 122 156 158	-358107627516
SPT(16)	2309957129802405793	0 6 66 76 78 84 108 124 150 166 190 196 198 208 268 274	-196152349744
SPT(16)	2309958382941644881	0 10 42 90 108 120 196 232 306 342 418 430 448 496 528 538	1056986889344
SPT(16)	2309958541815720811	0 16 22 42 52 70 88 100 108 120 138 156 166 186 192 208	1215860965274
SPT(16)	2309959029768922633	0 106 136 138 154 156 168 180 334 346 358 360 376 378 408 514	1703814167096
SPT(16)	2309959302675874921	0 12 16 42 108 142 168 178 450 460 486 520 586 612 616 628	1976721119384
STPT(10)	2309959528737250301	0 2 6 8 18 20 30 32 36 38	2202782494764