Prime p₀= 2569563346626194057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2569562540424492937	0 34 52 70 120 142 190 252 262 324 372 394 444 462 480 514	-806201701120
STPT(10)	2569562989511010551	0 2 36 38 78 80 120 122 156 158	-357115183506
STPT(10)	2569563081538878749	0 2 18 20 60 62 102 104 120 122	-265087315308
SPT(16)	2569563199901071571	0 2 30 32 66 72 116 186 302 372 416 422 456 458 486 488	-146725122486
SPT(16)	2569563260270596571	0 80 102 120 176 216 230 242 276 288 302 342 398 416 438 518	-86355597486
SPT(16)	2569563331133090843	0 24 26 56 66 104 126 134 180 188 210 248 258 288 290 314	-15493103214
SPT(16)	2569563491543928133	0 4 28 36 106 114 144 148 156 160 190 198 268 276 300 304	144917734076
STPT(10)	2569563820384651157	0 2 60 62 72 74 84 86 144 146	473758457100
STPT(10)	2569564129851898481	0 2 30 32 78 80 126 128 156 158	783225704424
STPT(10)	2569564432590031139	0 2 48 50 90 92 132 134 180 182	1085963837082
TPT(14)	2569565048402223539	0 2 48 50 108 110 150 152 192 194 258 260 288 290	1701776029482