Prime p₀= 2390279422838777159 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2390276833817005207	0 42 112 130 132 156 166 172 210 216 226 250 252 270 340 382	-2589021771952
SPT(16)	2390277378283675211	0 42 50 60 66 80 86 92 156 162 168 182 188 198 206 248	-2044555101948
SPT(16)	2390277884179642007	0 6 12 20 90 126 144 180 236 272 290 326 396 404 410 416	-1538659135152
SPT(20)	2390278518006961367	0 24 30 44 56 62 84 90 104 140 156 192 206 212 234 240 252 266 272 296	-904831815792
STPT(10)	2390278527850657289	0 2 18 20 30 32 42 44 60 62	-894988119870
SPT(16)	2390278559773411189	0 22 70 100 124 154 180 190 282 292 318 348 372 402 450 472	-863065365970
SPT(16)	2390279541820862911	0 22 42 90 102 108 112 120 160 168 172 178 190 238 258 280	118982085752
SPT(16)	2390279715061442129	0 14 32 38 72 74 80 92 150 162 168 170 204 210 228 242	292222664970
STPT(10)	2390280285464894699	0 2 30 32 60 62 90 92 120 122	862626117540
STPT(10)	2390280601675598309	0 2 18 20 30 32 42 44 60 62	1178836821150
SPT(16)	2390281381923618017	0 32 42 72 84 90 150 174 182 206 266 272 284 314 324 356	1959084840858