Prime p₀= 1337155730229367127 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: stoneageman
db: batch=77, k=12, 2 28 2 28 2 10

SPT(18)	1337154495404461001	0 32 72 78 80 132 140 158 192 308 342 360 368 420 422 428 468 500	-1234824906126
SPT(16)	1337154963593821633	0 4 34 46 78 100 120 126 148 154 174 196 228 240 270 274	-766635545494
SPT(16)	1337155051017155543	0 20 24 38 54 66 90 140 174 224 248 260 276 290 294 314	-679212211584
SPT(16)	1337155097058317987	0 2 14 24 30 42 66 80 126 140 164 176 182 192 204 206	-633171049140
STPT(10)	1337155146294064451	0 2 6 8 48 50 90 92 96 98	-583935302676
SPT(16)	1337155451118893603	0 30 60 74 108 114 156 158 246 248 290 296 330 344 374 404	-279110473524
STPT(10)	1337155810442993897	0 2 30 32 72 74 114 116 144 146	80213626770
SPT(16)	1337155959966656233	0 18 46 88 94 96 138 186 238 286 328 330 336 378 406 424	229737289106
SPT(16)	1337155964478127021	0 16 22 40 70 90 96 106 222 232 238 258 288 306 312 328	234248759894
TPT(14)	1337156266584413927	0 2 114 116 120 122 210 212 222 224 234 236 240 242	536355046800
SPT(16)	1337156523552943241	0 12 32 42 68 80 120 128 150 158 198 210 236 246 266 278	793323576114