Prime p₀= 4506411194792643749 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: [SG-2W]Kurzer
db: batch=85, k=10, 2 16 2 10 2

SPT(16)	4506408642573905989	0 12 18 42 78 84 102 132 250 280 298 304 340 364 370 382	-2552218737760
TPT(14)	4506408848877839357	0 2 60 62 102 104 150 152 210 212 252 254 282 284	-2345914804392
SPT(16)	4506409091581542911	0 8 20 50 56 62 72 150 188 266 276 282 288 318 330 338	-2103211100838
TPT(14)	4506409646776546889	0 2 42 44 48 50 342 344 408 410 420 422 492 494	-1548016096860
SPT(16)	4506409672026745321	0 12 16 42 46 76 100 126 142 168 192 222 226 252 256 268	-1522765898428
SPT(16)	4506409956617960663	0 20 38 74 84 108 114 156 158 200 206 230 240 276 294 314	-1238174683086
SPT(16)	4506411290792284309	0 34 42 112 120 178 210 262 300 352 384 442 450 520 528 562	95999640560
SPT(16)	4506411403548159977	0 32 50 132 210 240 252 254 300 302 314 344 422 504 522 554	208755516228
STPT(10)	4506411639866319047	0 2 42 44 72 74 102 104 144 146	445073675298
STPT(10)	4506411887288797667	0 2 24 26 42 44 60 62 84 86	692496153918
STPT(12)	4506412002954341069	0 2 72 74 102 104 168 170 198 200 270 272	808161697320