Prime p₀= 2512948662792643919 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: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2512947884694296741	0 2 38 86 116 132 146 170 228 252 266 282 312 360 396 398	-778098347178
TPT(14)	2512947957613194467	0 2 120 122 132 134 174 176 312 314 330 332 342 344	-705179449452
STPT(10)	2512948013109563801	0 2 30 32 78 80 126 128 156 158	-649683080118
TPT(14)	2512948065114478709	0 2 18 20 42 44 210 212 222 224 342 344 408 410	-597678165210
SPT(16)	2512948286063798897	0 62 72 80 146 156 212 222 224 234 290 300 366 374 384 446	-376728845022
STPT(10)	2512948574913023249	0 2 30 32 60 62 90 92 120 122	-87879620670
SPT(16)	2512948672689450419	0 12 42 110 120 152 182 194 198 210 240 272 282 350 380 392	9896806500
SPT(16)	2512948832605787531	0 2 20 36 42 50 116 132 140 156 222 230 236 252 270 272	169813143612
STPT(10)	2512948960283165819	0 2 18 20 30 32 42 44 60 62	297490521900
SPT(16)	2512949147314692029	0 42 62 108 140 152 158 194 228 264 270 282 314 360 380 422	484522048110
SPT(20)	2512949364408951731	0 2 26 32 96 126 158 168 182 186 212 216 230 240 272 302 366 372 396 398	701616307812