Prime p₀= 2123571757098761111 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-2W]Kurzer
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2123569052407929223	0 88 94 108 118 184 196 220 234 258 270 336 346 360 366 454	-2704690831888
STPT(10)	2123569922716137989	0 2 30 32 60 62 90 92 120 122	-1834382623122
STPT(10)	2123570278129275299	0 2 18 20 60 62 102 104 120 122	-1478969485812
TPT(14)	2123570920954723187	0 2 24 26 54 56 180 182 252 254 294 296 390 392	-836144037924
SPT(16)	2123570952711678403	0 58 66 84 94 126 156 160 234 238 268 300 310 328 336 394	-804387082708
SPT(16)	2123571657331613317	0 12 34 52 66 70 76 174 202 300 306 310 324 342 364 376	-99767147794
SPT(16)	2123571771620363111	0 42 56 60 102 108 150 152 216 218 260 266 308 312 326 368	14521602000
STPT(10)	2123571809639509907	0 2 30 32 42 44 54 56 84 86	52540748796
SPT(16)	2123571906036852121	0 6 28 96 126 130 138 196 342 400 408 412 442 510 532 538	148938091010
STPT(10)	2123572108975566671	0 2 36 38 78 80 120 122 156 158	351876805560
STPT(10)	2123572298398104017	0 2 60 62 102 104 144 146 204 206	541299342906