Prime p₀= 1094186660640627731 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 40 2 34 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 126 128 168 170 216 218
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: 218
Found by: crashtech
db: batch=76, k=12, 2 46 2 40 2 34

STPT(10)	1094185856126067011	0 2 108 110 168 170 228 230 336 338	-804514560720
SPT(16)	1094186086600697273	0 50 66 110 120 134 138 140 264 266 270 284 294 338 354 404	-574039930458
SPT(16)	1094186112384844819	0 22 40 58 82 142 162 172 198 208 228 288 312 330 348 370	-548255782912
SPT(16)	1094186458884040103	0 18 24 30 38 44 54 60 134 140 150 156 164 170 176 194	-201756587628
STPT(10)	1094186460454357811	0 2 30 32 78 80 126 128 156 158	-200186269920
TPT(14)	1094186652698465939	0 2 42 44 90 92 222 224 228 230 252 254 468 470	-7942161792
SPT(16)	1094187201515784569	0 12 18 30 68 74 78 92 120 134 138 144 182 194 200 212	540875156838
TPT(14)	1094187410999541401	0 2 6 8 156 158 180 182 240 242 366 368 408 410	750358913670
SPT(16)	1094187463502857051	0 12 70 82 96 108 118 132 136 150 160 172 186 198 256 268	802862229320
SPT(16)	1094187483330842809	0 18 52 90 94 102 108 130 132 154 160 168 172 210 244 262	822690215078
SPT(16)	1094187514434040753	0 16 28 30 34 60 84 90 94 100 124 150 154 156 168 184	853793413022