Prime p₀= 745658745132139637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Theadalus
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	745657911577129357	0 4 16 22 46 60 94 126 130 162 196 210 234 240 252 256	-833555010280
STPT(10)	745658107426742561	0 2 6 8 18 20 30 32 36 38	-637705397076
STPT(10)	745658405078042579	0 2 12 14 30 32 48 50 60 62	-340054097058
SPT(16)	745658411066834387	0 24 26 72 90 110 222 264 332 374 486 506 524 570 572 596	-334065305250
SPT(16)	745658619054801251	0 48 56 72 126 132 170 176 252 258 296 302 356 372 380 428	-126077338386
SPT(16)	745658693219996419	0 100 114 120 138 154 168 204 238 274 288 304 322 328 342 442	-51912143218
SPT(18)	745658852466196369	0 4 10 28 30 60 78 94 130 162 198 214 232 262 264 282 288 292	107334056732
STPT(10)	745658855023810697	0 2 54 56 72 74 90 92 144 146	109891671060
STPT(10)	745659186525769331	0 2 6 8 48 50 90 92 96 98	441393629694
STPT(10)	745659211357554551	0 2 36 38 78 80 120 122 156 158	466225414914
STPT(10)	745659216562801901	0 2 6 8 48 50 90 92 96 98	471430662264