Prime p₀= 1167716062079417831 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 64 2 10 2 88 2 10 2 64 2 (?)
a_n: 0 2 66 68 78 80 168 170 180 182 246 248
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: 248
Found by: xii5ku
db: batch=77, k=12, 2 64 2 10 2 88

STPT(10)	1167714900955533737	0 2 42 44 72 74 102 104 144 146	-1161123884094
SPT(16)	1167715100129974843	0 6 18 28 40 58 66 76 108 118 126 144 156 166 178 184	-961949442988
SPT(16)	1167715146094449089	0 30 62 68 120 128 198 210 230 242 312 320 372 378 410 440	-915984968742
SPT(16)	1167715228918047193	0 40 46 90 138 156 160 186 208 234 238 256 304 348 354 394	-833161370638
STPT(10)	1167715535946266267	0 2 72 74 102 104 132 134 204 206	-526133151564
TPT(14)	1167715723120716149	0 2 18 20 30 32 72 74 132 134 162 164 198 200	-338958701682
SPT(16)	1167716561207175367	0 6 16 34 40 76 84 114 166 196 204 240 246 264 274 280	499127757536
SPT(16)	1167716687436624473	0 14 18 54 74 96 98 168 236 306 308 330 350 386 390 404	625357206642
STPT(10)	1167717109214448839	0 2 12 14 90 92 168 170 180 182	1047135031008
SPT(20)	1167717286824351157	0 6 30 46 52 60 72 90 126 142 144 160 196 214 226 234 240 256 280 286	1224744933326
STPT(10)	1167717370088360207	0 2 30 32 42 44 54 56 84 86	1308008942376