Prime p₀= 3091345173264196991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: UrsD
db: batch=83, k=10, 2 4 2 10 2

SPT(16)	3091343298914115611	0 2 32 80 90 158 168 186 212 230 240 308 318 366 396 398	-1874350081380
SPT(16)	3091343508466319741	0 38 42 68 92 152 180 182 246 248 276 336 360 386 390 428	-1664797877250
SPT(16)	3091344082262374357	0 24 30 34 40 52 72 136 240 304 324 336 342 346 352 376	-1091001822634
STPT(10)	3091344343296635651	0 2 36 38 78 80 120 122 156 158	-829967561340
SPT(16)	3091344823707352309	0 10 52 60 88 102 114 172 180 238 250 264 292 300 342 352	-349556844682
STPT(10)	3091344876885821111	0 2 78 80 108 110 138 140 216 218	-296378375880
SPT(16)	3091345198885234639	0 28 60 64 148 150 178 190 258 270 298 300 384 388 420 448	25621037648
SPT(16)	3091345385883223961	0 8 42 72 116 120 150 156 422 428 458 462 506 536 570 578	212619026970
SPT(16)	3091345824950337161	0 6 26 30 36 50 56 110 198 252 258 272 278 282 302 308	651686140170
SPT(16)	3091345901921002247	0 30 84 96 114 132 134 146 210 222 224 242 260 272 326 356	728656805256
STPT(10)	3091346117315353451	0 2 156 158 168 170 180 182 336 338	944051156460