Prime p₀= 1167316498966130801 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 46 2 40 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 120 122 168 170 198 200
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: 200
Found by: xii5ku
db: batch=77, k=12, 2 28 2 46 2 40

SPT(16)	1167314466896459201	0 6 26 50 66 78 90 146 180 236 248 260 276 300 320 326	-2032069671600
STPT(10)	1167314771176537481	0 2 36 38 78 80 120 122 156 158	-1727789593320
STPT(10)	1167315162799389419	0 2 48 50 90 92 132 134 180 182	-1336166741382
STPT(10)	1167315655544737241	0 2 6 8 48 50 90 92 96 98	-843421393560
SPT(16)	1167315839052338957	0 2 14 24 44 56 116 126 200 210 270 282 302 312 324 326	-659913791844
SPT(16)	1167316159052907103	0 18 30 58 64 100 120 136 168 184 204 240 246 274 286 304	-339913223698
SPT(16)	1167316653994888213	0 6 10 40 48 66 76 90 124 138 148 166 174 204 208 214	155028757412
STPT(10)	1167316735875357227	0 2 30 32 42 44 54 56 84 86	236909226426
SPT(16)	1167316802008534621	0 52 66 78 108 118 126 162 166 202 210 220 250 262 276 328	303042403820
SPT(16)	1167316899285799069	0 22 30 58 70 78 90 118 234 262 274 282 294 322 330 352	400319668268
STPT(10)	1167317393268493067	0 2 12 14 42 44 72 74 84 86	894302362266