Prime p₀= 1266504288671348939 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Megacruncher
db: batch=77, k=10, 2 40 2 16 2

STPT(10)	1266503121041216087	0 2 12 14 42 44 72 74 84 86	-1167630132852
STPT(10)	1266503172584402867	0 2 90 92 102 104 114 116 204 206	-1116086946072
SPT(16)	1266503539552750139	0 50 60 78 110 120 138 180 200 242 260 270 302 320 330 380	-749118598800
SPT(16)	1266503707900900583	0 20 44 56 66 80 86 140 174 228 234 248 258 270 294 314	-580770448356
SPT(16)	1266503909161178293	0 156 166 180 264 300 310 328 336 354 364 400 484 498 508 664	-379510170646
TPT(14)	1266503984946647099	0 2 48 50 78 80 90 92 132 134 162 164 210 212	-303724701840
SPT(16)	1266504355559124373	0 6 18 40 54 58 60 90 124 154 156 160 174 196 208 214	66887775434
TPT(14)	1266504953141698979	0 2 60 62 90 92 168 170 228 230 288 290 330 332	664470350040
STPT(10)	1266505422704629319	0 2 42 44 60 62 78 80 120 122	1134033280380
SPT(16)	1266505624041288079	0 4 52 72 82 102 124 144 190 210 232 252 262 282 330 334	1335369939140
TPT(14)	1266505731589481321	0 2 168 170 198 200 240 242 246 248 306 308 318 320	1442918132382