Prime p₀= 2310270351057889067 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: FritzB
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2310269822532567023	0 134 144 168 174 204 234 258 326 350 380 410 416 440 450 584	-528525322044
SPT(16)	2310269941465030313	0 20 44 74 86 90 146 150 164 168 224 228 240 270 294 314	-409592858754
SPT(16)	2310269962119339229	0 42 78 114 120 142 154 190 192 228 240 262 268 304 340 382	-388938549838
SPT(16)	2310270101185752247	0 24 66 70 106 114 124 142 204 222 232 240 276 280 322 346	-249872136820
TPT(14)	2310270155044069061	0 2 18 20 48 50 60 62 96 98 198 200 270 272	-196013820006
SPT(16)	2310270260968706441	0 56 98 116 132 138 140 152 216 228 230 236 252 270 312 368	-90089182626
SPT(13)	2310270654641490473	0 18 60 108 150 174 234 294 318 360 408 450 468	303583601406
SPT(16)	2310270787977416059	0 4 64 70 90 124 154 174 208 228 258 292 312 318 378 382	436919526992
STPT(12)	2310271311419273987	0 2 12 14 42 44 180 182 210 212 222 224	960361384920
SPT(16)	2310271340414755103	0 24 60 84 138 150 168 176 228 236 254 266 320 344 380 404	989356866036
SPT(16)	2310271736691768679	0 4 18 64 70 112 172 190 222 240 300 342 348 394 408 412	1385633879612