Prime p₀= 1292142641674320101 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 64 2 82 2 64 2 28 2 (?)
a_n: 0 2 30 32 96 98 180 182 246 248 276 278
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: 278
Found by: damotbe
db: batch=77, k=12, 2 28 2 64 2 82

SPT(16)	1292141861196705083	0 6 36 38 50 56 96 104 210 218 258 264 276 278 308 314	-780477615018
STPT(10)	1292142141998545067	0 2 24 26 42 44 60 62 84 86	-499675775034
STPT(10)	1292142145369684949	0 2 18 20 30 32 42 44 60 62	-496304635152
SPT(16)	1292142269843627047	0 16 40 46 60 70 112 172 180 240 282 292 306 312 336 352	-371830693054
STPT(10)	1292142385127153981	0 2 36 38 78 80 120 122 156 158	-256547166120
SPT(16)	1292142451341601687	0 16 34 70 76 84 114 156 190 232 262 270 276 312 330 346	-190332718414
TPT(14)	1292142703493716409	0 2 30 32 60 62 108 110 192 194 210 212 252 254	61819396308
SPT(16)	1292142855605728109	0 8 60 62 78 90 110 140 180 210 230 242 258 260 312 320	213931408008
SPT(16)	1292143179377915071	0 30 42 70 72 88 126 138 160 172 210 226 228 256 268 298	537703594970
STPT(10)	1292143265000485367	0 2 30 32 42 44 54 56 84 86	623326165266
SPT(16)	1292143421208285619	0 10 22 42 58 64 70 84 88 102 108 114 130 150 162 172	779533965518