Prime p₀= 2928729898480192307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=82, k=10, 2 10 2 58 2

STPT(10)	2928727548081587849	0 2 42 44 60 62 78 80 120 122	-2350398604458
SPT(16)	2928729114115511519	0 14 72 74 80 102 134 180 182 228 260 282 288 290 348 362	-784364680788
STPT(10)	2928729196518355409	0 2 48 50 90 92 132 134 180 182	-701961836898
SPT(16)	2928729348375198773	0 38 44 56 84 86 104 110 294 300 318 320 348 360 366 404	-550104993534
SPT(16)	2928729543019542239	0 8 14 20 38 60 84 90 152 158 182 204 222 228 234 242	-355460650068
STPT(10)	2928729637574384009	0 2 42 44 60 62 78 80 120 122	-260905808298
SPT(16)	2928730265156114651	0 12 38 60 102 108 122 128 150 156 170 176 218 240 266 278	366675922344
SPT(16)	2928730954666693019	0 2 20 50 62 72 90 104 210 224 242 252 264 294 312 314	1056186500712
SPT(16)	2928731550361677911	0 12 36 48 86 140 162 168 230 236 258 312 350 362 386 398	1651881485604
SPT(18)	2928731861086275157	0 34 72 82 96 130 154 174 232 264 322 342 366 400 414 424 462 496	1962606082850
STPT(10)	2928731975516388719	0 2 18 20 30 32 42 44 60 62	2077036196412