Prime p₀= 1458667937188925327 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: [SG-2W]Kurzer
db: batch=78, k=10, 2 40 2 28 2

TPT(14)	1458666974238171359	0 2 30 32 138 140 198 200 210 212 252 254 258 260	-962950753968
SPT(18)	1458667415244484517	0 24 44 62 72 90 92 132 146 150 164 204 206 224 234 252 272 296	-521944440810
SPT(16)	1458667492980413329	0 12 54 82 108 150 154 162 220 228 232 274 300 328 370 382	-444208511998
SPT(16)	1458667682201203027	0 4 16 54 60 66 112 186 190 264 310 316 322 360 372 376	-254987722300
SPT(16)	1458667832574493459	0 10 28 52 78 112 130 150 190 210 228 262 288 312 330 340	-104614431868
SPT(16)	1458667848878850691	0 6 22 72 82 96 160 202 210 252 316 330 340 390 406 412	-88310074636
SPT(16)	1458667947937086671	0 32 50 80 92 102 126 140 162 176 200 210 222 252 270 302	10748161344
SPT(16)	1458668538100272419	0 8 18 42 48 50 62 72 230 240 252 254 260 284 294 302	600911347092
STPT(10)	1458668555791313651	0 2 30 32 168 170 306 308 336 338	618602388324
STPT(12)	1458668803585752959	0 2 12 14 30 32 72 74 90 92 102 104	866396827632
SPT(18)	1458668937920385721	0 12 18 36 40 150 168 190 238 270 318 340 358 468 472 490 496 508	1000731460394