Prime p₀= 1016270325579946667 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)	1016269158931814659	0 4 28 48 54 82 84 144 148 208 210 238 244 264 288 292	-1166648132008
STPT(10)	1016269238014024871	0 2 30 32 60 62 90 92 120 122	-1087565921796
SPT(16)	1016269747748231203	0 36 54 78 90 96 120 126 168 174 198 204 216 240 258 294	-577831715464
SPT(16)	1016269971754290191	0 12 26 38 80 92 110 126 152 168 186 198 240 252 266 278	-353825656476
SPT(16)	1016269974231750871	0 10 58 90 138 198 210 220 240 250 262 322 370 402 450 460	-351348195796
SPT(16)	1016270215327374299	0 12 18 42 84 120 158 168 194 204 242 278 320 344 350 362	-110252572368
STPT(10)	1016270733890492279	0 2 42 44 90 92 138 140 180 182	408310545612
STPT(10)	1016270851812482009	0 2 72 74 120 122 168 170 240 242	526232535342
STPT(10)	1016270859086231867	0 2 24 26 42 44 60 62 84 86	533506285200
STPT(10)	1016271325717383059	0 2 18 20 30 32 42 44 60 62	1000137436392
STPT(10)	1016271344542500749	0 2 138 140 150 152 162 164 300 302	1018962554082