Prime p₀= 2245820768115757277 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: Ben
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2245818227351844157	0 6 12 36 46 84 124 126 130 132 172 210 220 244 250 256	-2540763913120
SPT(16)	2245818561521204489	0 30 42 72 74 78 98 110 252 264 284 288 290 320 332 362	-2206594552788
SPT(16)	2245818596659060391	0 8 36 50 62 68 72 92 126 146 150 156 168 182 210 218	-2171456696886
STPT(10)	2245819939756440077	0 2 30 32 60 62 90 92 120 122	-828359317200
TPT(14)	2245820268940533839	0 2 78 80 108 110 138 140 210 212 222 224 360 362	-499175223438
STPT(10)	2245820564510250821	0 2 30 32 60 62 90 92 120 122	-203605506456
SPT(16)	2245821675122040923	0 18 26 36 50 56 78 98 228 248 270 276 290 300 308 326	907006283646
SPT(16)	2245821996923036867	0 30 44 60 84 90 104 140 156 192 206 212 236 252 266 296	1228807279590
SPT(16)	2245822224333816893	0 18 20 50 56 78 84 108 116 140 146 168 174 204 206 224	1456218059616
SPT(16)	2245822228580136407	0 26 36 42 56 66 120 122 180 182 236 246 260 266 276 302	1460464379130
SPT(16)	2245822611245448811	0 36 46 78 102 156 162 186 202 226 232 286 310 342 352 388	1843129691534