Prime p₀= 1295710741068481217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Cruncher Pete
db: batch=77, k=10, 2 52 2 76 2

SPT(16)	1295709897890352467	0 20 74 80 162 164 194 204 290 300 330 332 414 420 474 494	-843178128750
SPT(16)	1295709948100160093	0 50 56 74 78 96 114 120 134 140 158 176 180 198 204 254	-792968321124
SPT(16)	1295709981021393529	0 12 40 78 88 114 124 172 180 228 238 264 274 312 340 352	-760047087688
TPT(14)	1295710056532183931	0 2 6 8 18 20 36 38 78 80 168 170 216 218	-684536297286
STPT(10)	1295710211081822867	0 2 90 92 102 104 114 116 204 206	-529986658350
STPT(10)	1295710579493430809	0 2 42 44 60 62 78 80 120 122	-161575050408
SPT(16)	1295711024492407213	0 4 6 28 54 66 88 118 186 216 238 250 276 298 300 304	283423925996
SPT(16)	1295711032781829577	0 6 46 84 124 144 154 166 294 306 316 336 376 414 454 460	291713348360
STPT(10)	1295711045674627427	0 2 24 26 42 44 60 62 84 86	304606146210
SPT(16)	1295711098313060371	0 12 22 60 76 78 118 126 172 180 220 222 238 276 286 298	357244579154
STPT(10)	1295711505623964797	0 2 30 32 42 44 54 56 84 86	764555483580