Prime p₀= 3377955563991748541 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 88 2 34 2 52 2 34 2 88 2 (?)
a_n: 0 2 90 92 126 128 180 182 216 218 306 308
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: Josemi
db: batch=83, k=12, 2 88 2 34 2 52

SPT(16)	3377954437289238223	0 6 16 18 46 70 118 126 148 156 204 228 256 258 268 274	-1126702510318
STPT(10)	3377954452909346249	0 2 42 44 60 62 78 80 120 122	-1111082402292
STPT(10)	3377954640766530491	0 2 6 8 18 20 30 32 36 38	-923225218050
SPT(20)	3377954799692818453	0 34 64 174 198 210 216 268 274 276 328 330 336 388 394 406 430 540 570 604	-764298930088
STPT(10)	3377954933244399371	0 2 6 8 108 110 210 212 216 218	-630747349170
SPT(16)	3377955392007786599	0 8 18 32 60 78 98 114 128 144 164 182 210 224 234 242	-171983961942
SPT(16)	3377956005798766187	0 6 32 56 132 152 182 186 230 234 264 284 360 384 410 416	441807017646
STPT(10)	3377956121270212367	0 2 30 32 42 44 54 56 84 86	557278463826
SPT(16)	3377956242682983919	0 24 58 70 88 90 114 118 150 154 178 180 198 210 244 268	678691235378
SPT(16)	3377956329894173603	0 24 36 80 90 146 156 170 210 224 234 290 300 344 356 380	765902425062
SPT(22)	3377956607713116391	0 40 76 102 160 172 180 216 222 226 252 256 282 286 292 328 336 348 406 432 468 508	1043721367850