Prime p₀= 1709389702958647691 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: matsu_pl
db: batch=79, k=12, 2 34 2 10 2 28

SPT(16)	1709388382160587769	0 12 20 104 110 210 212 240 284 312 314 414 420 504 512 524	-1320798059922
SPT(16)	1709388656650879907	0 2 14 26 36 92 104 114 152 162 174 230 240 252 264 266	-1046307767784
STPT(10)	1709388830468892887	0 2 30 32 72 74 114 116 144 146	-872489754804
STPT(10)	1709388914452025489	0 2 12 14 90 92 168 170 180 182	-788506622202
STPT(10)	1709389140559345541	0 2 6 8 18 20 30 32 36 38	-562399302150
STPT(10)	1709389269091938821	0 2 30 32 78 80 126 128 156 158	-433866708870
TPT(14)	1709389702958647691	0 2 36 38 48 50 78 80 90 92 126 128 168 170	0
SPT(16)	1709390106173015143	0 70 108 148 150 168 190 196 258 264 286 304 306 346 384 454	403214367452
SPT(16)	1709390118843340541	0 6 20 56 116 132 186 192 230 236 290 306 366 402 416 422	415884692850
SPT(16)	1709390503489838711	0 2 72 92 126 128 152 156 302 306 330 332 366 386 456 458	800531191020
STPT(10)	1709390662005925901	0 2 36 38 78 80 120 122 156 158	959047278210