Prime p₀= 1267869227165459297 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)	1267867178847848087	0 26 32 80 92 116 126 150 152 176 186 210 222 270 276 302	-2048317611210
STPT(10)	1267867865322208697	0 2 30 32 42 44 54 56 84 86	-1361843250600
SPT(16)	1267867897574600411	0 18 38 42 50 66 92 102 116 126 152 168 176 180 200 218	-1329590858886
STPT(10)	1267868266224764777	0 2 42 44 72 74 102 104 144 146	-960940694520
SPT(16)	1267868418106461623	0 14 26 30 50 56 86 126 188 228 258 264 284 288 300 314	-809058997674
STPT(10)	1267868504825423771	0 2 6 8 48 50 90 92 96 98	-722340035526
SPT(16)	1267869369211575191	0 20 42 66 78 98 132 140 168 176 210 230 242 266 288 308	142046115894
STPT(10)	1267869434650425701	0 2 6 8 48 50 90 92 96 98	207484966404
STPT(10)	1267869739317941531	0 2 30 32 78 80 126 128 156 158	512152482234
SPT(16)	1267869797001447373	0 4 24 28 30 70 84 88 96 100 114 154 156 160 180 184	569835988076
STPT(10)	1267870030116072701	0 2 48 50 108 110 168 170 216 218	802950613404