Prime p₀= 2311852090421967827 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)	2311850024256913667	0 92 102 182 186 216 242 272 324 354 380 410 414 494 504 596	-2066165054160
STPT(10)	2311850116775894867	0 2 12 14 42 44 72 74 84 86	-1973646072960
STPT(10)	2311850137315910687	0 2 60 62 72 74 84 86 144 146	-1953106057140
SPT(16)	2311850813228028749	0 20 24 32 42 48 62 74 108 120 134 140 150 158 162 182	-1277193939078
STPT(10)	2311850981291028467	0 2 90 92 132 134 174 176 264 266	-1109130939360
STPT(10)	2311851603194919347	0 2 42 44 72 74 102 104 144 146	-487227048480
SPT(16)	2311852098339026129	0 20 32 78 84 120 144 164 228 248 272 308 314 360 372 392	7917058302
STPT(10)	2311852153854725231	0 2 36 38 78 80 120 122 156 158	63432757404
SPT(16)	2311852237899434777	0 24 54 92 126 164 170 222 224 276 282 320 354 392 422 446	147477466950
STPT(10)	2311852268750854901	0 2 30 32 78 80 126 128 156 158	178328887074
STPT(10)	2311852372933298549	0 2 12 14 90 92 168 170 180 182	282511330722