Prime p₀= 1377256738312172831 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 64 2 10 2 88 2 10 2 64 2 (?)
a_n: 0 2 66 68 78 80 168 170 180 182 246 248
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: 248
Found by: emoga
db: batch=77, k=12, 2 64 2 10 2 88

SPT(16)	1377256394979860831	0 30 62 80 86 120 128 140 198 210 218 252 258 276 308 338	-343332312000
SPT(16)	1377256465492418003	0 30 50 54 84 114 138 146 198 206 230 260 290 294 314 344	-272819754828
SPT(16)	1377256624305249619	0 42 70 78 84 100 130 144 148 162 192 208 214 222 250 292	-114006923212
SPT(16)	1377256641052204307	0 6 44 62 72 96 120 132 134 146 170 194 204 222 260 266	-97259968524
SPT(16)	1377256718795136271	0 16 28 58 66 72 156 190 198 232 316 322 330 360 372 388	-19517036560
TPT(14)	1377256738312172819	0 2 12 14 78 80 90 92 180 182 192 194 258 260	-12
STPT(10)	1377257433120294767	0 2 30 32 42 44 54 56 84 86	694808121936
STPT(12)	1377257521977749021	0 2 30 32 36 38 120 122 126 128 156 158	783665576190
SPT(16)	1377257684624556193	0 28 30 78 88 90 96 114 130 148 154 156 166 214 216 244	946312383362
STPT(10)	1377257687281802657	0 2 60 62 102 104 144 146 204 206	948969629826
SPT(16)	1377257935573986077	0 56 62 86 126 140 152 170 192 210 222 236 276 300 306 362	1197261813246