Prime p₀= 729356633998429751 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 64 2 112 2 64 2 28 2 (?)
a_n: 0 2 30 32 96 98 210 212 276 278 306 308
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: 308
Found by: jozef j
db: batch=73, k=12, 2 28 2 64 2 112

STPT(10)	729356161884099677	0 2 12 14 72 74 132 134 144 146	-472114330074
SPT(16)	729356240373931939	0 10 30 52 54 70 108 114 178 184 222 238 240 262 282 292	-393624497812
SPT(16)	729356244104611049	0 2 108 132 150 182 198 300 332 434 450 482 500 524 630 632	-389893818702
STPT(10)	729356371496237447	0 2 30 32 42 44 54 56 84 86	-262502192304
SPT(16)	729356431987328503	0 18 24 28 54 78 88 100 108 120 130 154 180 184 190 208	-202011101248
STPT(10)	729356576263487477	0 2 30 32 42 44 54 56 84 86	-57734942274
STPT(10)	729356667462436511	0 2 36 38 78 80 120 122 156 158	33464006760
TPT(14)	729356732660455019	0 2 72 74 150 152 180 182 198 200 222 224 240 242	98662025268
STPT(10)	729356893761116939	0 2 42 44 90 92 138 140 180 182	259762687188
SPT(16)	729357963699090071	0 2 12 36 80 90 126 150 152 176 212 222 266 290 300 302	1329700660320
SPT(16)	729358030904878157	0 6 60 72 90 102 116 156 170 210 224 236 254 266 320 326	1396906448406