Prime p₀= 1092429171181991117 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
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: 116
Found by: Theadalus
db: batch=76, k=12, 2 10 2 40 2 4

SPT(16)	1092428251246572467	0 2 24 42 44 54 84 86 120 122 152 162 164 182 204 206	-919935418650
TPT(14)	1092428314068747869	0 2 12 14 48 50 132 134 168 170 222 224 252 254	-857113243248
SPT(16)	1092428774704013281	0 12 16 30 120 168 196 198 250 252 280 328 418 432 436 448	-396477977836
SPT(16)	1092428873671055881	0 22 28 30 46 88 130 142 156 168 210 252 268 270 276 298	-297510935236
SPT(16)	1092428936737489717	0 60 100 106 130 136 144 156 190 202 210 216 240 246 286 346	-234444501400
SPT(16)	1092429116081794177	0 10 36 40 64 66 102 136 180 214 250 252 276 280 306 316	-55100196940
SPT(16)	1092429378826118453	0 38 44 50 60 84 98 128 156 186 200 224 234 240 246 284	207644127336
STPT(10)	1092429431017065857	0 2 42 44 72 74 102 104 144 146	259835074740
SPT(16)	1092429449427688513	0 10 78 84 100 136 138 150 154 166 168 204 220 226 294 304	278245697396
SPT(16)	1092429456752585507	0 20 24 56 90 114 140 176 210 246 272 296 330 362 366 386	285570594390
SPT(16)	1092429467079112777	0 16 24 40 60 76 90 130 180 220 234 250 270 286 294 310	295897121660