Prime p₀= 1267812265745802059 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: Megacruncher
db: batch=77, k=10, 2 46 2 40 2

SPT(16)	1267811465809264837	0 6 42 66 82 136 142 180 196 234 240 294 310 334 370 376	-799936537222
SPT(16)	1267811529235181383	0 4 6 24 34 76 120 126 154 160 204 246 256 274 276 280	-736510620676
STPT(10)	1267811669989085939	0 2 12 14 90 92 168 170 180 182	-595756716120
SPT(16)	1267811792760872267	0 2 42 60 80 84 86 96 200 210 212 216 236 254 294 296	-472984929792
SPT(16)	1267811843885326451	0 32 56 60 108 110 162 180 188 206 258 260 308 312 336 368	-421860475608
SPT(16)	1267812248190956033	0 20 26 38 56 66 80 96 140 156 170 180 198 210 216 236	-17554846026
SPT(16)	1267812392581396679	0 24 30 42 50 90 108 150 272 314 332 372 380 392 398 422	126835594620
SPT(16)	1267812707978536327	0 4 10 34 40 76 84 112 114 142 150 186 192 216 222 226	442232734268
TPT(14)	1267812968966210201	0 2 6 8 66 68 78 80 96 98 210 212 216 218	703220408142
SPT(16)	1267813405624637689	0 24 52 70 82 94 102 138 184 220 228 240 252 270 298 322	1139878835630
TPT(14)	1267813455662590931	0 2 120 122 276 278 306 308 318 320 378 380 486 488	1189916788872