Prime p₀= 1277999669372815799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: Egon olsen
db: batch=77, k=10, 2 10 2 76 2

SPT(16)	1277998701124299647	0 26 42 62 80 126 162 174 182 194 230 276 294 314 330 356	-968248516152
STPT(10)	1277998742601537491	0 2 66 68 108 110 150 152 216 218	-926771278308
STPT(10)	1277998982412298187	0 2 30 32 42 44 54 56 84 86	-686960517612
SPT(16)	1277999056634047831	0 18 46 76 132 186 240 252 286 298 352 406 462 492 520 538	-612738767968
SPT(16)	1277999161351731829	0 52 54 112 138 154 190 204 208 222 258 274 300 358 360 412	-508021083970
SPT(16)	1277999435471747269	0 12 42 52 58 64 78 120 142 184 198 204 210 220 250 262	-233901068530
STPT(10)	1277999905724835779	0 2 48 50 90 92 132 134 180 182	236352019980
SPT(16)	1278000057637001021	0 8 30 56 60 66 86 92 186 192 212 218 222 248 270 278	388264185222
SPT(16)	1278000104832515291	0 8 36 42 50 90 110 120 188 198 218 258 266 272 300 308	435459699492
STPT(10)	1278000364237513121	0 2 6 8 18 20 30 32 36 38	694864697322
SPT(16)	1278000443932204969	0 12 54 60 64 70 84 160 174 250 264 270 274 280 322 334	774559389170