Prime p₀= 1267868504825423771 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Megacruncher
db: batch=77, k=10, 2 4 2 40 2

STPT(10)	1267866454471047791	0 2 6 8 48 50 90 92 96 98	-2050354375980
SPT(16)	1267867178847848087	0 26 32 80 92 116 126 150 152 176 186 210 222 270 276 302	-1325977575684
STPT(10)	1267867865322208697	0 2 30 32 42 44 54 56 84 86	-639503215074
SPT(16)	1267867897574600411	0 18 38 42 50 66 92 102 116 126 152 168 176 180 200 218	-607250823360
STPT(10)	1267868266224764777	0 2 42 44 72 74 102 104 144 146	-238600658994
SPT(16)	1267868418106461623	0 14 26 30 50 56 86 126 188 228 258 264 284 288 300 314	-86718962148
STPT(10)	1267869227165459297	0 2 30 32 42 44 54 56 84 86	722340035526
SPT(16)	1267869369211575191	0 20 42 66 78 98 132 140 168 176 210 230 242 266 288 308	864386151420
STPT(10)	1267869434650425701	0 2 6 8 48 50 90 92 96 98	929825001930
STPT(10)	1267869739317941531	0 2 30 32 78 80 126 128 156 158	1234492517760
SPT(16)	1267869797001447373	0 4 24 28 30 70 84 88 96 100 114 154 156 160 180 184	1292176023602