Prime p₀= 999251708470833047 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: stoneageman
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	999250662711875713	0 40 60 76 84 150 174 216 298 340 364 430 438 454 474 514	-1045758957334
SPT(16)	999250924773788123	0 20 38 48 68 78 84 104 114 134 140 150 170 180 198 218	-783697044924
STPT(10)	999251395689358937	0 2 30 32 72 74 114 116 144 146	-312781474110
STPT(10)	999251397995742887	0 2 30 32 72 74 114 116 144 146	-310475090160
SPT(16)	999251641083708277	0 30 42 46 90 126 150 156 196 202 226 262 306 310 322 352	-67387124770
SPT(18)	999251650968741251	0 20 26 48 92 120 146 222 230 258 266 342 368 396 440 462 468 488	-57502091796
STPT(12)	999252277255612769	0 2 72 74 132 134 138 140 198 200 270 272	568784779722
SPT(16)	999252404843897921	0 6 96 120 126 140 150 156 230 236 246 260 266 290 380 386	696373064874
SPT(16)	999252473374115641	0 6 18 28 30 52 70 88 90 108 126 148 150 160 172 178	764903282594
STPT(12)	999252483337078937	0 2 30 32 114 116 150 152 234 236 264 266	774866245890
STPT(10)	999252920024697797	0 2 30 32 42 44 54 56 84 86	1211553864750