Prime p₀= 824257870303193267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: schoussi
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	824256051011877577	0 4 16 22 70 144 156 174 352 370 382 456 504 510 522 526	-1819291315690
STPT(10)	824256325583390639	0 2 18 20 30 32 42 44 60 62	-1544719802628
SPT(16)	824256719759052373	0 10 30 40 96 124 126 148 156 178 180 208 264 274 294 304	-1150544140894
SPT(16)	824256826476707311	0 6 30 46 106 142 150 160 228 238 246 282 342 358 382 388	-1043826485956
STPT(10)	824257227797861951	0 2 36 38 78 80 120 122 156 158	-642505331316
STPT(10)	824257517589735569	0 2 18 20 30 32 42 44 60 62	-352713457698
STPT(10)	824257967285433641	0 2 36 38 78 80 120 122 156 158	96982240374
STPT(10)	824258173544104469	0 2 18 20 60 62 102 104 120 122	303240911202
SPT(16)	824258178431812181	0 18 32 50 78 92 110 116 162 168 186 200 228 246 260 278	308128618914
SPT(16)	824258492272533761	0 62 72 80 92 158 210 218 240 248 300 366 378 386 396 458	621969340494
SPT(16)	824258925143624687	0 90 110 120 134 246 264 266 300 302 320 432 446 456 476 566	1054840431420