Prime p₀= 1040716515044487647 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 22 2 4 2 22 2 58 2 (?)
a_n: 0 2 60 62 84 86 90 92 114 116 174 176
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: 176
Found by: zzuupp
db: batch=76, k=12, 2 58 2 22 2 4

STPT(10)	1040715768353089847	0 2 42 44 72 74 102 104 144 146	-746691397800
STPT(10)	1040715879079502531	0 2 6 8 48 50 90 92 96 98	-635964985116
STPT(10)	1040716251928974497	0 2 30 32 60 62 90 92 120 122	-263115513150
STPT(10)	1040716271811375359	0 2 12 14 90 92 168 170 180 182	-243233112288
SPT(16)	1040716325959552729	0 18 48 90 112 138 154 190 222 258 274 300 322 364 394 412	-189084934918
SPT(16)	1040716431505753463	0 26 44 104 174 234 266 300 314 348 380 440 510 570 588 614	-83538734184
SPT(16)	1040716714416666223	0 34 58 118 154 166 180 234 310 364 378 390 426 486 510 544	199372178576
SPT(16)	1040716945121198089	0 12 28 42 52 72 118 142 150 174 220 240 250 264 280 292	430076710442
STPT(10)	1040716966400266679	0 2 18 20 30 32 42 44 60 62	451355779032
SPT(16)	1040716993379974961	0 32 56 72 96 120 140 176 186 222 242 266 290 306 330 362	478335487314
SPT(18)	1040717283636967537	0 40 60 82 96 102 130 142 172 234 264 276 304 310 324 346 366 406	768592479890