Prime p₀= 2851716109956032069 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 40 2 76 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 168 170 210 212 258 260
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: 260
Found by: JayPi
db: batch=82, k=12, 2 46 2 40 2 76

STPT(10)	2851714934116327187	0 2 30 32 42 44 54 56 84 86	-1175839704882
STPT(10)	2851715108970586679	0 2 18 20 30 32 42 44 60 62	-1000985445390
SPT(16)	2851715119573917251	0 12 68 78 92 128 210 252 308 350 432 468 482 492 548 560	-990382114818
STPT(10)	2851715285724946997	0 2 42 44 72 74 102 104 144 146	-824231085072
SPT(16)	2851715335978454303	0 24 50 86 96 116 120 156 164 200 204 224 234 270 296 320	-773977577766
SPT(16)	2851715383170503281	0 60 66 78 102 108 120 148 150 178 190 196 220 232 238 298	-726785528788
SPT(16)	2851716421701978029	0 20 30 50 78 80 248 254 294 300 468 470 498 518 528 548	311745945960
STPT(10)	2851716793400896241	0 2 6 8 18 20 30 32 36 38	683444864172
STPT(10)	2851717251929385809	0 2 12 14 30 32 48 50 60 62	1141973353740
TPT(14)	2851717484813520569	0 2 42 44 120 122 162 164 180 182 198 200 210 212	1374857488500
SPT(16)	2851717529535164267	0 26 50 90 96 152 164 222 314 372 384 440 446 486 510 536	1419579132198