Prime p₀= 2021029164105756317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: Orange Kid
db: batch=80, k=10, 2 58 2 40 2

SPT(16)	2021027988331382153	0 14 18 54 56 84 134 156 158 180 230 258 260 296 300 314	-1175774374164
TPT(14)	2021028098280006509	0 2 12 14 108 110 168 170 180 182 210 212 222 224	-1065825749808
SPT(16)	2021028488611308811	0 6 46 48 78 82 96 112 186 202 216 220 250 252 292 298	-675494447506
SPT(16)	2021028780827155081	0 6 28 36 66 118 120 138 190 208 210 262 292 300 322 328	-383278601236
SPT(16)	2021029014870956329	0 40 42 154 162 172 180 220 222 262 270 280 288 400 402 442	-149234799988
SPT(16)	2021029041414039739	0 12 70 132 148 162 202 208 252 258 298 312 328 390 448 460	-122691716578
SPT(16)	2021029499420527909	0 24 54 60 78 82 88 108 124 144 150 154 172 178 208 232	335314771592
STPT(10)	2021029653624294917	0 2 90 92 102 104 114 116 204 206	489518538600
SPT(16)	2021030058678862573	0 30 34 138 156 160 174 184 240 250 264 268 286 390 394 424	894573106256
STPT(10)	2021030116150137437	0 2 42 44 72 74 102 104 144 146	952044381120
SPT(16)	2021030378569340591	0 32 38 60 78 120 138 146 222 230 248 290 308 330 336 368	1214463584274