Prime p₀= 1057100838884290997 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: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1057099912271309219	0 32 42 60 78 92 122 224 228 330 360 374 392 410 420 452	-926612981778
STPT(10)	1057100108620033571	0 2 36 38 78 80 120 122 156 158	-730264257426
SPT(16)	1057100114862304531	0 36 42 88 96 118 142 160 168 186 210 232 240 286 292 328	-724021986466
STPT(10)	1057100241066627227	0 2 30 32 42 44 54 56 84 86	-597817663770
SPT(16)	1057100274826455263	0 48 98 108 120 126 134 140 144 150 158 164 176 186 236 284	-564057835734
STPT(10)	1057100298506816087	0 2 30 32 42 44 54 56 84 86	-540377474910
TPT(14)	1057101521420937407	0 2 84 86 114 116 162 164 174 176 270 272 282 284	682536646410
SPT(16)	1057102155811391311	0 72 88 138 166 208 226 240 268 282 300 342 370 420 436 508	1316927100314
SPT(16)	1057102192510521701	0 12 18 42 102 108 152 168 200 216 260 266 326 350 356 368	1353626230704
STPT(10)	1057102258019441087	0 2 24 26 42 44 60 62 84 86	1419135150090
STPT(10)	1057102567436515277	0 2 12 14 42 44 72 74 84 86	1728552224280