Prime p₀= 2857004947536474401 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2857003680595141757	0 12 42 80 92 96 114 182 234 302 320 324 336 374 404 416	-1266941332644
SPT(16)	2857003714124776049	0 8 12 14 30 32 38 42 110 114 120 122 138 140 144 152	-1233411698352
SPT(16)	2857004242657704911	0 2 18 48 62 66 78 90 158 170 182 186 200 230 246 248	-704878769490
SPT(16)	2857004335136868143	0 36 50 78 80 84 110 138 206 234 260 264 266 294 308 344	-612399606258
SPT(16)	2857004566132766167	0 34 40 42 144 150 154 166 180 192 196 202 304 306 312 346	-381403708234
STPT(10)	2857004852278142771	0 2 6 8 18 20 30 32 36 38	-95258331630
STPT(10)	2857004982094794491	0 2 36 38 78 80 120 122 156 158	34558320090
SPT(16)	2857005917543919067	0 54 132 142 154 160 180 190 216 226 246 252 264 274 352 406	970007444666
SPT(16)	2857006450861768411	0 22 30 42 112 166 196 226 246 276 306 360 430 442 450 472	1503325294010
STPT(10)	2857006697728912847	0 2 30 32 42 44 54 56 84 86	1750192438446
TPT(14)	2857007313794859761	0 2 6 8 48 50 90 92 180 182 186 188 198 200	2366258385360