Prime p₀= 1295709490811688761 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: Cruncher Pete
db: batch=77, k=10, 2 4 2 40 2

SPT(16)	1295708364434150497	0 46 64 90 94 162 172 174 232 234 244 312 316 342 360 406	-1126377538264
STPT(12)	1295708521025809277	0 2 30 32 72 74 90 92 132 134 162 164	-969785879484
SPT(16)	1295709092023706513	0 80 90 108 150 180 200 230 234 264 284 314 356 374 384 464	-398787982248
TPT(14)	1295709233494414577	0 2 12 14 60 62 102 104 144 146 150 152 180 182	-257317274184
TPT(14)	1295709246219467237	0 2 12 14 30 32 42 44 54 56 132 134 144 146	-244592221524
SPT(16)	1295709401610090911	0 12 20 26 80 90 96 120 278 302 308 318 372 378 386 398	-89201597850
TPT(14)	1295709643466727911	0 2 6 8 30 32 78 80 90 92 120 122 156 158	152655039150
SPT(16)	1295709897890352467	0 20 74 80 162 164 194 204 290 300 330 332 414 420 474 494	407078663706
SPT(16)	1295709948100160093	0 50 56 74 78 96 114 120 134 140 158 176 180 198 204 254	457288471332
SPT(16)	1295709981021393529	0 12 40 78 88 114 124 172 180 228 238 264 274 312 340 352	490209704768
TPT(14)	1295710056532183931	0 2 6 8 18 20 36 38 78 80 168 170 216 218	565720495170