Prime p₀= 865750139297846417 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: sellyme
db: batch=73, k=10, 2 22 2 16 2

STPT(10)	865749002910014051	0 2 6 8 48 50 90 92 96 98	-1136387832366
SPT(16)	865749262165683689	0 44 54 78 80 120 138 198 260 320 338 378 380 404 414 458	-877132162728
SPT(16)	865749571192645589	0 20 32 48 60 84 134 162 170 198 248 272 284 300 312 332	-568105200828
SPT(16)	865749769385464883	0 14 44 54 86 90 98 174 230 306 314 318 350 360 390 404	-369912381534
SPT(16)	865749803072161103	0 20 50 54 90 176 180 200 204 224 228 314 350 354 384 404	-336225685314
SPT(16)	865749810548673131	0 2 8 96 98 126 152 156 182 186 212 240 242 330 336 338	-328749173286
STPT(10)	865750582047101297	0 2 30 32 42 44 54 56 84 86	442749254880
STPT(10)	865750891169979977	0 2 30 32 42 44 54 56 84 86	751872133560
TPT(14)	865751065965097547	0 2 30 32 54 56 102 104 180 182 240 242 264 266	926667251130
STPT(10)	865751244348844697	0 2 30 32 42 44 54 56 84 86	1105050998280
SPT(16)	865751323301596871	0 38 62 90 116 170 192 198 200 206 228 282 308 336 360 398	1184003750454