Prime p₀= 1263438963069733589 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 40 2 46 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 150 152 192 194 252 254
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: 254
Found by: HenkM
db: batch=77, k=12, 2 58 2 40 2 46

STPT(10)	1263436681835916569	0 2 42 44 60 62 78 80 120 122	-2281233817020
SPT(16)	1263436714536470153	0 8 14 26 30 44 86 96 98 108 150 164 168 180 186 194	-2248533263436
STPT(10)	1263436928339117471	0 2 36 38 78 80 120 122 156 158	-2034730616118
STPT(10)	1263437062985554157	0 2 30 32 42 44 54 56 84 86	-1900084179432
SPT(16)	1263438697943821271	0 20 26 36 66 68 90 92 96 98 120 122 152 162 168 188	-265125912318
SPT(16)	1263438913460252857	0 16 30 102 150 250 264 306 340 382 396 496 544 616 630 646	-49609480732
STPT(10)	1263439006272812417	0 2 42 44 72 74 102 104 144 146	43203078828
SPT(16)	1263439184510809157	0 54 62 66 96 126 132 144 272 284 290 320 350 354 362 416	221441075568
SPT(16)	1263439369829786003	0 56 78 84 108 114 126 128 156 158 170 176 200 206 228 284	406760052414
STPT(10)	1263439407440506991	0 2 30 32 78 80 126 128 156 158	444370773402
TPT(14)	1263439590602610257	0 2 72 74 90 92 114 116 180 182 312 314 324 326	627532876668