Prime p₀= 2167192119491509931 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Roadranner
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2167190116571423033	0 24 44 56 74 90 104 116 138 150 164 180 198 210 230 254	-2002920086898
STPT(10)	2167190852282576171	0 2 6 8 18 20 30 32 36 38	-1267208933760
SPT(16)	2167190981869549963	0 6 10 18 64 78 88 94 120 126 136 150 196 204 208 214	-1137621959968
STPT(10)	2167191312167778287	0 2 30 32 42 44 54 56 84 86	-807323731644
SPT(16)	2167191909418233353	0 8 14 78 110 126 168 194 210 236 278 294 326 390 396 404	-210073276578
STPT(10)	2167191955852417577	0 2 30 32 72 74 114 116 144 146	-163639092354
SPT(16)	2167192135669147187	0 72 104 144 152 156 186 212 294 320 350 354 362 402 434 506	16177637256
SPT(13)	2167192257981268367	0 24 72 84 90 114 132 150 174 180 192 240 264	138489758436
STPT(10)	2167192335858988511	0 2 6 8 108 110 210 212 216 218	216367478580
SPT(16)	2167192405337412133	0 66 108 136 160 214 238 286 288 336 360 414 438 466 508 574	285845902202
SPT(16)	2167192696014491359	0 4 60 82 88 100 118 172 210 264 282 294 300 322 378 382	576522981428