Prime p₀= 2589170204261280719 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: fzs600
db: batch=82, k=10, 2 46 2 10 2

SPT(16)	2589167991445825021	0 22 30 58 70 100 108 130 168 190 198 228 240 268 276 298	-2212815455698
TPT(14)	2589168273707560421	0 2 30 32 186 188 246 248 258 260 288 290 336 338	-1930553720298
SPT(18)	2589169100449320391	0 18 22 36 78 148 178 228 256 342 370 420 450 520 562 576 580 598	-1103811960328
SPT(16)	2589169119088145261	0 26 42 56 78 92 96 120 128 152 156 170 192 206 222 248	-1085173135458
STPT(10)	2589169253880406271	0 2 6 8 48 50 90 92 96 98	-950380874448
SPT(16)	2589169573190412301	0 40 42 66 78 102 118 126 172 180 196 220 232 256 258 298	-631070868418
TPT(14)	2589172315508660051	0 2 18 20 60 62 156 158 186 188 210 212 420 422	2111247379332
STPT(12)	2589172389718253567	0 2 42 44 54 56 60 62 72 74 114 116	2185456972848
STPT(10)	2589172571052397019	0 2 18 20 30 32 42 44 60 62	2366791116300
SPT(16)	2589172908783191617	0 24 34 64 76 106 120 132 274 286 300 330 342 372 382 406	2704521910898
SPT(16)	2589172920229491601	0 10 22 36 46 66 70 82 150 162 166 186 196 210 222 232	2715968210882