Prime p₀= 778967927963711531 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 36 38 48 50 78 80 90 92 126 128
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: 128
Found by: jozef j
db: batch=73, k=12, 2 34 2 10 2 28

SPT(16)	778966477620774907	0 24 34 76 84 120 136 204 226 294 310 346 354 396 406 430	-1450342936624
SPT(16)	778966535757238051	0 40 48 82 156 172 178 208 270 300 306 322 396 430 438 478	-1392206473480
STPT(10)	778966565941796987	0 2 30 32 42 44 54 56 84 86	-1362021914544
SPT(16)	778966781955895217	0 12 14 42 44 90 102 152 174 224 236 282 284 312 314 326	-1146007816314
SPT(16)	778966796438383781	0 20 50 98 126 156 186 198 230 242 272 302 330 378 408 428	-1131525327750
SPT(16)	778967360996503439	0 8 38 60 80 92 140 182 210 252 300 312 332 354 384 392	-566967208092
TPT(14)	778967927963711531	0 2 36 38 48 50 78 80 90 92 126 128 138 140	0
SPT(16)	778968514676667221	0 12 56 78 86 110 152 168 170 186 228 252 260 282 326 338	586712955690
SPT(16)	778968693790032749	0 2 38 80 104 108 120 150 152 182 194 198 222 264 300 302	765826321218
STPT(10)	778969352668531691	0 2 6 8 18 20 30 32 36 38	1424704820160
SPT(16)	778969388455484827	0 30 46 66 76 144 154 174 196 216 226 294 304 324 340 370	1460491773296