Prime p₀= 726172586345781077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: jozef j
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	726171728695316903	0 96 104 116 150 206 224 230 234 240 258 314 348 360 368 464	-857650464174
STPT(10)	726171889141874639	0 2 48 50 60 62 72 74 120 122	-697203906438
SPT(16)	726172020226464491	0 18 66 92 96 108 116 128 150 162 170 182 186 212 260 278	-566119316586
TPT(14)	726172348795083479	0 2 42 44 168 170 198 200 210 212 282 284 288 290	-237550697598
STPT(10)	726172411721786969	0 2 42 44 60 62 78 80 120 122	-174623994108
SPT(16)	726172545001106549	0 38 62 98 128 132 140 152 210 222 230 234 264 300 324 362	-41344674528
TPT(14)	726172884646451531	0 2 18 20 78 80 90 92 126 128 156 158 168 170	298300670454
SPT(18)	726172894765127941	0 36 48 66 136 162 172 180 196 312 328 336 346 372 442 460 472 508	308419346864
STPT(10)	726172983613971251	0 2 78 80 138 140 198 200 276 278	397268190174
TPT(14)	726173593578895949	0 2 12 14 90 92 198 200 300 302 390 392 420 422	1007233114872
SPT(16)	726173644166240141	0 6 18 20 62 86 92 98 120 126 132 156 198 200 212 218	1057820459064