Prime p₀= 2317864040644949297 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: eclipse99
db: batch=81, k=12, 2 10 2 40 2 34

SPT(16)	2317862845274108833	0 10 16 30 60 64 84 94 120 130 150 154 184 198 204 214	-1195370840464
SPT(16)	2317862849930109193	0 10 18 28 34 54 66 70 144 148 160 180 186 196 204 214	-1190714840104
STPT(10)	2317862990196319997	0 2 12 14 72 74 132 134 144 146	-1050448629300
SPT(16)	2317863014725263557	0 6 32 54 102 104 132 140 156 164 192 194 242 264 290 296	-1025919685740
SPT(16)	2317863737353791113	0 18 48 50 90 116 120 144 170 194 198 224 264 266 296 314	-303291158184
STPT(10)	2317863781304237597	0 2 54 56 72 74 90 92 144 146	-259340711700
SPT(16)	2317864115364687959	0 2 42 80 102 110 138 164 258 284 312 320 342 380 420 422	74719738662
STPT(10)	2317864146548238017	0 2 30 32 72 74 114 116 144 146	105903288720
STPT(10)	2317864190276569577	0 2 24 26 42 44 60 62 84 86	149631620280
STPT(10)	2317864196712635939	0 2 18 20 30 32 42 44 60 62	156067686642
SPT(16)	2317864261179360251	0 42 68 80 92 116 186 206 222 242 312 336 348 360 386 428	220534410954