Prime p₀= 2990400622845668717 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: Orange Kid
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2990399184587007409	0 34 58 60 90 138 142 154 198 210 214 262 292 294 318 352	-1438258661308
TPT(14)	2990399652499127147	0 2 12 14 54 56 114 116 222 224 264 266 420 422	-970346541570
SPT(16)	2990399884667967859	0 10 40 94 132 162 198 220 222 244 280 310 348 402 432 442	-738177700858
TPT(14)	2990400155461987589	0 2 12 14 102 104 192 194 252 254 402 404 432 434	-467383681128
SPT(16)	2990400228388367371	0 12 22 82 118 132 136 150 178 192 196 210 246 306 316 328	-394457301346
TPT(14)	2990400618472968707	0 2 12 14 30 32 42 44 114 116 144 146 180 182	-4372700010
STPT(10)	2990400883774515329	0 2 18 20 30 32 42 44 60 62	260928846612
SPT(16)	2990401028288000797	0 16 46 72 82 106 136 142 150 156 186 210 220 246 276 292	405442332080
SPT(16)	2990401162378489547	0 20 24 32 42 44 50 84 122 156 162 164 174 182 186 206	539532820830
STPT(10)	2990401199066478677	0 2 30 32 42 44 54 56 84 86	576220809960
SPT(13)	2990401460792013691	0 48 78 90 108 132 150 168 192 210 222 252 300	837946344974