Prime p₀= 1205870105410574039 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Theadalus
db: batch=77, k=10, 2 16 2 40 2

TPT(14)	1205869316763068927	0 2 60 62 102 104 114 116 132 134 300 302 312 314	-788647505112
STPT(10)	1205869516646325857	0 2 30 32 42 44 54 56 84 86	-588764248182
SPT(16)	1205869702923273589	0 28 42 48 82 84 94 102 160 168 178 180 214 220 234 262	-402487300450
SPT(16)	1205869799899057453	0 24 46 70 90 114 136 144 166 174 196 220 240 264 286 310	-305511516586
SPT(16)	1205869816219539271	0 6 10 76 100 126 142 162 196 216 232 258 282 348 352 358	-289191034768
SPT(16)	1205869915069262549	0 2 12 18 32 72 108 152 168 212 248 288 302 308 318 320	-190341311490
TPT(14)	1205870419894654817	0 2 30 32 42 44 90 92 114 116 132 134 144 146	314484080778
SPT(16)	1205870784072450029	0 50 80 98 120 144 150 158 174 182 188 212 234 252 282 332	678661875990
SPT(16)	1205870815284835369	0 22 60 88 94 102 124 174 208 258 280 288 294 322 360 382	709874261330
STPT(10)	1205871159693460259	0 2 18 20 30 32 42 44 60 62	1054282886220
TPT(14)	1205871246312010301	0 2 60 62 216 218 366 368 468 470 576 578 630 632	1140901436262