Prime p₀= 787466530556264759 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 40 2 88 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 180 182 222 224 270 272
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: 272
Found by: WTBroughton
db: batch=73, k=12, 2 46 2 40 2 88

SPT(16)	787465169885528909	0 20 132 134 152 168 180 224 228 272 284 300 318 320 432 452	-1360670735850
SPT(16)	787465864515259157	0 12 60 62 96 104 120 210 236 326 342 350 384 386 434 446	-666041005602
SPT(16)	787466001869545331	0 78 86 92 102 168 186 188 240 242 260 326 336 342 350 428	-528686719428
SPT(16)	787466198542520027	0 6 26 32 62 84 104 126 170 192 212 234 264 270 290 296	-332013744732
SPT(16)	787466232817893217	0 4 30 36 40 54 106 112 114 120 172 186 190 196 222 226	-297738371542
TPT(14)	787466493565795229	0 2 60 62 90 92 138 140 258 260 312 314 432 434	-36990469530
SPT(16)	787467069899369927	0 12 86 90 110 114 140 152 204 216 242 246 266 270 344 356	539343105168
SPT(16)	787467505944337063	0 4 70 88 96 114 124 184 240 300 310 328 336 354 420 424	975388072304
SPT(16)	787467546764530999	0 24 28 30 58 64 90 112 120 142 168 174 202 204 208 232	1016208266240
SPT(16)	787467560681170067	0 12 62 110 122 156 180 182 240 242 266 300 312 360 410 422	1030124905308
STPT(10)	787467608459914799	0 2 18 20 30 32 42 44 60 62	1077903650040