Prime p₀= 1267345078183858517 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: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1267344030892646557	0 22 130 132 160 190 196 226 300 330 336 366 394 396 504 526	-1047291211960
STPT(10)	1267344302705554361	0 2 36 38 78 80 120 122 156 158	-775478304156
STPT(10)	1267344431486289929	0 2 48 50 90 92 132 134 180 182	-646697568588
SPT(16)	1267344444003528643	0 30 34 54 58 70 76 96 148 168 174 186 190 210 214 244	-634180329874
STPT(10)	1267344453321209717	0 2 24 26 42 44 60 62 84 86	-624862648800
SPT(16)	1267344950433253849	0 10 22 34 42 78 112 174 268 330 364 400 408 420 432 442	-127750604668
SPT(16)	1267345251716607727	0 4 42 70 72 82 102 112 114 124 144 154 156 184 222 226	173532749210
STPT(10)	1267345370345775731	0 2 6 8 48 50 90 92 96 98	292161917214
STPT(10)	1267345685057355401	0 2 36 38 78 80 120 122 156 158	606873496884
TPT(14)	1267345809106335479	0 2 42 44 138 140 222 224 300 302 372 374 378 380	730922476962
SPT(16)	1267345822185777611	0 30 50 96 102 132 162 198 200 236 266 296 302 348 368 398	744001919094