Prime p₀= 2712790258184688137 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2712788020343193493	0 18 30 60 96 120 130 166 270 306 316 340 376 406 418 436	-2237841494644
TPT(14)	2712788768118195461	0 2 6 8 30 32 90 92 120 122 168 170 258 260	-1490066492676
SPT(16)	2712789022163311279	0 42 48 52 108 130 132 174 178 220 222 244 300 304 310 352	-1236021376858
SPT(16)	2712789068638626097	0 4 16 64 112 142 156 186 190 220 234 264 312 360 372 376	-1189546062040
SPT(16)	2712789334501495169	0 42 74 78 128 134 162 188 294 320 348 354 404 408 440 482	-923683192968
STPT(10)	2712789352264386851	0 2 30 32 78 80 126 128 156 158	-905920301286
SPT(16)	2712790400179013767	0 22 30 34 64 120 162 202 204 244 286 342 372 376 384 406	141994325630
SPT(16)	2712790587405450967	0 24 52 72 94 100 112 132 172 192 204 210 232 252 280 304	329220762830
STPT(10)	2712790623111053897	0 2 24 26 42 44 60 62 84 86	364926365760
STPT(10)	2712790747475382191	0 2 36 38 78 80 120 122 156 158	489290694054
TPT(14)	2712791051997641597	0 2 12 14 54 56 162 164 210 212 222 224 342 344	793812953460