Prime p₀= 1304039844927723257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=77, k=10, 2 52 2 16 2

SPT(16)	1304037964160990731	0 12 112 126 148 150 310 312 316 318 478 480 502 516 616 628	-1880766732526
SPT(16)	1304038876437142871	0 6 26 36 42 78 146 152 246 252 320 356 362 372 392 398	-968490580386
TPT(14)	1304038962094399469	0 2 30 32 78 80 120 122 222 224 240 242 252 254	-882833323788
STPT(10)	1304039189373880007	0 2 42 44 72 74 102 104 144 146	-655553843250
SPT(16)	1304039306507896181	0 26 32 66 152 158 182 240 308 366 390 396 482 516 522 548	-538419827076
STPT(10)	1304039779283545397	0 2 30 32 60 62 90 92 120 122	-65644177860
SPT(16)	1304039856235776529	0 18 48 52 78 84 100 102 160 162 178 184 210 214 244 262	11308053272
STPT(10)	1304040233927219819	0 2 18 20 30 32 42 44 60 62	388999496562
SPT(16)	1304040431426413363	0 28 64 96 100 138 184 190 204 210 256 294 298 330 366 394	586498690106
SPT(16)	1304041092129162319	0 4 30 60 88 102 108 118 144 154 160 174 202 232 258 262	1247201439062
STPT(10)	1304041269291224279	0 2 12 14 30 32 48 50 60 62	1424363501022