Prime p₀= 2340579292369447247 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

SPT(16)	2340576348787213331	0 6 32 56 72 90 92 120 182 210 212 230 246 270 296 302	-2943582233916
STPT(10)	2340577161128423489	0 2 18 20 30 32 42 44 60 62	-2131241023758
STPT(10)	2340577358892183767	0 2 42 44 72 74 102 104 144 146	-1933477263480
SPT(16)	2340577623669878399	0 14 42 48 104 108 144 162 170 188 224 228 284 290 318 332	-1668699568848
TPT(14)	2340577746782389181	0 2 6 8 138 140 156 158 168 170 198 200 240 242	-1545587058066
TPT(14)	2340578631220915199	0 2 30 32 90 92 132 134 162 164 210 212 270 272	-661148532048
STPT(10)	2340579774189561647	0 2 30 32 42 44 54 56 84 86	481820114400
SPT(16)	2340579929892246701	0 18 26 72 102 110 156 306 422 572 618 626 656 702 710 728	637522799454
SPT(16)	2340579999251562053	0 14 96 108 128 140 164 188 216 240 264 276 296 308 390 404	706882114806
SPT(16)	2340580926045265909	0 42 64 88 90 130 148 150 172 174 192 232 234 258 280 322	1633675818662
SPT(16)	2340580940313543091	0 6 36 52 120 136 162 178 180 196 222 238 306 322 352 358	1647944095844