Prime p₀= 1368372644917088771 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: emoga
db: batch=77, k=10, 2 34 2 40 2

STPT(10)	1368371998324045457	0 2 30 32 42 44 54 56 84 86	-646593043314
SPT(16)	1368372070171855831	0 40 66 76 78 106 118 120 208 210 222 250 252 262 288 328	-574745232940
SPT(16)	1368372143909245061	0 12 56 66 68 80 96 110 168 182 198 210 212 222 266 278	-501007843710
STPT(10)	1368372306004814807	0 2 54 56 72 74 90 92 144 146	-338912273964
TPT(14)	1368372349190948867	0 2 42 44 84 86 150 152 162 164 252 254 264 266	-295726139904
STPT(10)	1368372374583627221	0 2 6 8 48 50 90 92 96 98	-270333461550
SPT(16)	1368372695949213893	0 38 50 54 78 138 158 164 180 186 206 266 290 294 306 344	51032125122
STPT(10)	1368373097099225339	0 2 48 50 90 92 132 134 180 182	452182136568
SPT(16)	1368373106586756139	0 4 18 22 28 30 94 100 162 168 232 234 240 244 258 262	461669667368
SPT(16)	1368373189046172733	0 40 46 64 78 106 118 138 196 216 228 256 270 288 294 334	544129083962
SPT(16)	1368373387344316081	0 22 60 78 106 108 138 180 238 280 310 312 340 358 396 418	742427227310