Prime p₀= 2338460147835658667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Time_Traveler
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2338458840770984131	0 12 70 90 100 120 132 148 222 238 250 270 280 300 358 370	-1307064674536
SPT(16)	2338458957754151833	0 58 90 118 130 178 196 216 238 258 276 324 336 364 396 454	-1190081506834
SPT(16)	2338459289515611377	0 20 30 44 84 86 90 114 146 170 174 176 216 230 240 260	-858320047290
SPT(16)	2338459355600464319	0 20 54 108 114 182 188 200 222 234 240 308 314 368 402 422	-792235194348
STPT(10)	2338459371071765969	0 2 18 20 30 32 42 44 60 62	-776763892698
SPT(16)	2338460121620767967	0 12 14 50 60 120 132 140 216 224 236 296 306 342 344 356	-26214890700
STPT(10)	2338460171255964989	0 2 48 50 60 62 72 74 120 122	23420306322
STPT(10)	2338460187875681921	0 2 6 8 18 20 30 32 36 38	40040023254
SPT(16)	2338460568337013311	0 48 66 102 136 148 168 178 210 220 240 252 286 322 340 388	420501354644
SPT(16)	2338460755904700631	0 42 66 130 168 198 226 240 268 282 310 340 378 442 466 508	608069041964
SPT(16)	2338460970983418613	0 24 48 54 96 106 118 124 150 156 168 178 220 226 250 274	823147759946