Prime p₀= 1167350066738094047 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: HenkM
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1167349156023187997	0 2 30 32 72 74 114 116 144 146	-910714906050
STPT(10)	1167349241678811941	0 2 36 38 78 80 120 122 156 158	-825059282106
SPT(16)	1167349286575254407	0 14 44 74 104 132 164 174 182 192 224 252 282 312 342 356	-780162839640
STPT(10)	1167349321747471787	0 2 12 14 42 44 72 74 84 86	-744990622260
SPT(16)	1167349563818295931	0 28 36 42 106 138 156 168 220 232 250 282 346 352 360 388	-502919798116
SPT(16)	1167349821565367837	0 36 90 102 104 116 132 150 176 194 210 222 224 236 290 326	-245172726210
SPT(16)	1167350309031572741	0 60 62 98 126 152 206 248 330 372 426 452 480 516 518 578	242293478694
SPT(16)	1167350780986448689	0 4 78 88 114 120 124 130 138 144 148 154 180 190 264 268	714248354642
SPT(16)	1167351231284606783	0 44 60 90 98 108 150 156 158 164 206 216 224 254 270 314	1164546512736
SPT(16)	1167351555712624781	0 6 20 48 66 120 146 170 246 270 296 350 368 396 410 416	1488974530734
SPT(16)	1167351883072037053	0 84 96 108 130 136 186 238 276 328 378 384 406 418 430 514	1816333943006