Prime p₀= 1258056036464925149 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Theadalus
db: batch=77, k=10, 2 46 2 40 2

SPT(16)	1258054996299003731	0 8 12 36 56 78 90 92 96 98 110 132 152 176 180 188	-1040165921418
SPT(16)	1258055211433597373	0 30 86 108 114 156 168 180 254 266 278 320 326 348 404 434	-825031327776
SPT(16)	1258055534121042053	0 36 50 68 108 134 138 140 144 146 150 176 216 234 248 284	-502343883096
STPT(10)	1258055581897539119	0 2 30 32 60 62 90 92 120 122	-454567386030
SPT(16)	1258055724618554227	0 4 6 22 34 84 126 186 220 280 322 372 384 400 402 406	-311846370922
SPT(18)	1258055774186851217	0 2 32 84 86 96 110 114 116 180 182 186 200 210 212 264 294 296	-262278073932
SPT(16)	1258056346486020769	0 4 34 48 78 130 162 174 298 310 342 394 424 438 468 472	310021095620
STPT(10)	1258056353656019147	0 2 24 26 42 44 60 62 84 86	317191093998
STPT(12)	1258056370819925099	0 2 12 14 42 44 90 92 120 122 132 134	334354999950
STPT(10)	1258056878762019779	0 2 42 44 60 62 78 80 120 122	842297094630
STPT(10)	1258057203824278337	0 2 30 32 42 44 54 56 84 86	1167359353188