Prime p₀= 1588317060720354719 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: crashtech
db: batch=78, k=10, 2 16 2 10 2

SPT(16)	1588314982718879221	0 46 58 136 148 160 196 268 288 360 396 408 420 498 510 556	-2078001475498
TPT(14)	1588315114818089297	0 2 12 14 120 122 180 182 204 206 234 236 252 254	-1945902265422
STPT(10)	1588315343115562889	0 2 42 44 60 62 78 80 120 122	-1717604791830
STPT(10)	1588315843733148239	0 2 48 50 90 92 132 134 180 182	-1216987206480
SPT(16)	1588315991510314901	0 18 90 108 156 158 168 170 246 248 258 260 308 326 398 416	-1069210039818
SPT(16)	1588316411423298049	0 42 70 72 94 114 120 142 162 184 190 210 232 234 262 304	-649297056670
SPT(16)	1588317172065113549	0 2 38 48 72 78 80 98 114 132 134 140 164 174 210 212	111344758830
STPT(10)	1588317323646745787	0 2 30 32 42 44 54 56 84 86	262926391068
SPT(16)	1588317507381483631	0 12 106 120 130 216 232 252 286 306 322 408 418 432 526 538	446661128912
STPT(10)	1588318045182223037	0 2 42 44 72 74 102 104 144 146	984461868318
STPT(10)	1588318280859021707	0 2 30 32 72 74 114 116 144 146	1220138666988