Prime p₀= 2787645788713000727 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 28 2 94 2 28 2 22 2 (?)
a_n: 0 2 24 26 54 56 150 152 180 182 204 206
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: 206
Found by: JayPi
db: batch=82, k=12, 2 22 2 28 2 94

SPT(16)	2787644948447223001	0 36 46 120 148 166 168 238 258 328 330 348 376 450 460 496	-840265777726
STPT(10)	2787645244132397951	0 2 30 32 78 80 126 128 156 158	-544580602776
SPT(16)	2787645295772960263	0 16 58 60 138 148 210 240 364 394 456 466 544 546 588 604	-492940040464
TPT(14)	2787645458267155919	0 2 30 32 42 44 102 104 138 140 180 182 222 224	-330445844808
TPT(14)	2787645490206342371	0 2 48 50 90 92 168 170 210 212 216 218 336 338	-298506658356
SPT(16)	2787645588965301973	0 18 24 46 90 156 166 174 220 228 238 304 348 370 376 394	-199747698754
SPT(16)	2787645788894428961	0 56 90 98 108 116 146 170 186 210 240 248 258 266 300 356	181428234
SPT(16)	2787645957133198171	0 10 52 76 106 108 126 132 136 142 160 162 192 216 258 268	168420197444
SPT(16)	2787646018128824771	0 48 86 98 132 150 198 206 252 260 308 326 360 372 410 458	229415824044
SPT(16)	2787646026289822981	0 10 48 82 126 132 138 150 268 280 286 292 336 370 408 418	237576822254
SPT(16)	2787646183167932869	0 52 58 60 82 100 132 138 172 178 210 228 250 252 258 310	394454932142