Prime p₀= 2319740979435959267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

TPT(14)	2319739849968219227	0 2 24 26 84 86 132 134 174 176 180 182 204 206	-1129467740040
SPT(16)	2319739938781144183	0 10 16 24 30 64 108 118 156 166 210 244 250 258 264 274	-1040654815084
SPT(16)	2319740414956134133	0 18 64 78 84 138 190 210 214 234 286 340 346 360 406 424	-564479825134
SPT(16)	2319740480486850181	0 12 22 36 82 126 132 166 246 280 286 330 376 390 400 412	-498949109086
SPT(16)	2319740642896194803	0 6 20 38 50 98 120 150 206 236 258 306 318 336 350 356	-336539764464
STPT(10)	2319740910626431049	0 2 18 20 30 32 42 44 60 62	-68809528218
SPT(16)	2319740981295518929	0 42 78 108 114 238 250 274 438 462 474 598 604 634 670 712	1859559662
STPT(10)	2319740985023998097	0 2 42 44 72 74 102 104 144 146	5588038830
SPT(16)	2319741040215876997	0 16 24 40 84 166 172 196 210 234 240 322 366 382 390 406	60779917730
STPT(10)	2319741091237957757	0 2 30 32 42 44 54 56 84 86	111801998490
SPT(16)	2319741919902202259	0 38 92 98 114 120 122 192 230 300 302 308 324 330 384 422	940466242992