Prime p₀= 862716811305844667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=73, k=10, 2 10 2 58 2

TPT(16)	862715711255246081	0 2 6 8 36 38 48 50 78 80 120 122 156 158 258 260	-1100050598586
STPT(10)	862716064608241169	0 2 18 20 30 32 42 44 60 62	-746697603498
SPT(13)	862716121843759037	0 54 60 84 114 144 162 180 210 240 264 270 324	-689462085630
STPT(10)	862716247595188157	0 2 12 14 132 134 252 254 264 266	-563710656510
TPT(14)	862716298272709421	0 2 6 8 78 80 156 158 246 248 258 260 270 272	-513033135246
SPT(16)	862716308781946141	0 42 52 118 120 132 138 150 220 232 238 250 252 318 328 370	-502523898526
SPT(16)	862716864976617743	0 24 78 108 110 120 144 158 186 200 224 234 236 266 320 344	53670773076
SPT(13)	862717722070064929	0 12 78 90 132 258 360 462 588 630 642 708 720	910764220262
STPT(10)	862718395344934391	0 2 6 8 48 50 90 92 96 98	1584039089724
SPT(16)	862718539775423813	0 44 48 56 80 84 104 108 146 150 170 174 198 206 210 254	1728469579146
SPT(16)	862718735440840247	0 50 72 84 90 92 102 120 194 212 222 224 230 242 264 314	1924134995580