Prime p₀= 1325271386356378709 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 4 2 82 2 4 2 40 2 (?)
a_n: 0 2 42 44 48 50 132 134 138 140 180 182
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: 182
Found by: BlackGoose05
db: batch=77, k=12, 2 40 2 4 2 82

SPT(16)	1325269891637499491	0 36 56 60 80 110 126 140 228 242 258 288 308 312 332 368	-1494718879218
TPT(14)	1325269898961486029	0 2 30 32 138 140 168 170 192 194 210 212 318 320	-1487394892680
SPT(16)	1325270207570548273	0 114 118 124 144 166 184 196 228 240 258 280 300 306 310 424	-1178785830436
STPT(10)	1325270513994589829	0 2 18 20 30 32 42 44 60 62	-872361788880
TPT(14)	1325270600232754079	0 2 60 62 78 80 102 104 168 170 258 260 288 290	-786123624630
SPT(16)	1325270661718527631	0 6 28 76 78 90 118 130 186 198 226 238 240 288 310 316	-724637851078
STPT(10)	1325271552510599129	0 2 42 44 60 62 78 80 120 122	166154220420
STPT(10)	1325273023885469927	0 2 30 32 72 74 114 116 144 146	1637529091218
STPT(10)	1325273218908413441	0 2 6 8 18 20 30 32 36 38	1832552034732
SPT(16)	1325273295471070237	0 12 22 24 76 90 112 120 136 144 166 180 232 234 244 256	1909114691528
SPT(16)	1325273310289808203	0 24 58 70 78 90 150 184 294 328 388 400 408 420 454 478	1923933429494