Prime p₀= 805092259426583039 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: GLeeM
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	805091072389116013	0 54 78 96 144 156 184 210 244 270 298 310 358 376 400 454	-1187037467026
SPT(16)	805091725666826599	0 42 58 60 70 88 114 130 162 178 204 222 232 234 250 292	-533759756440
SPT(16)	805091932639407181	0 6 28 52 60 70 82 130 138 186 198 208 216 240 262 268	-326787175858
STPT(10)	805091950206694061	0 2 6 8 18 20 30 32 36 38	-309219888978
SPT(18)	805092228849239189	0 18 78 80 92 140 150 174 218 234 278 302 312 360 372 374 434 452	-30577343850
STPT(10)	805092247186970921	0 2 6 8 48 50 90 92 96 98	-12239612118
TPT(14)	805092796680911327	0 2 24 26 114 116 210 212 252 254 264 266 330 332	537254328288
SPT(16)	805092893120797871	0 2 62 80 132 150 156 162 176 182 188 206 258 276 336 338	633694214832
SPT(16)	805092954973467037	0 16 30 36 54 82 126 132 184 190 234 262 280 286 300 316	695546883998
SPT(16)	805093468609588703	0 44 80 114 156 158 194 224 240 270 306 308 350 384 420 464	1209183005664
SPT(16)	805093731745369943	0 38 50 116 128 204 216 266 318 368 380 456 468 534 546 584	1472318786904