Prime p₀= 1585257967680942431 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: crashtech
db: batch=78, k=10, 2 28 2 28 2

SPT(16)	1585257197126287879	0 22 34 42 52 120 154 172 252 270 304 372 382 390 402 424	-770554654552
SPT(16)	1585257239104831181	0 8 30 66 80 86 120 126 152 158 192 198 212 248 270 278	-728576111250
SPT(16)	1585257397626551401	0 46 70 76 78 88 90 156 172 238 240 250 252 258 282 328	-570054391030
STPT(10)	1585257590299913867	0 2 30 32 42 44 54 56 84 86	-377381028564
SPT(16)	1585257704401820843	0 20 80 216 228 240 254 290 294 330 344 356 368 504 564 584	-263279121588
SPT(16)	1585257874018221847	0 30 42 52 72 82 94 112 204 222 234 244 264 274 286 316	-93662720584
SPT(16)	1585258030442249519	0 20 24 48 72 74 102 132 140 170 198 200 224 248 252 272	62761307088
TPT(14)	1585258348087222181	0 2 48 50 126 128 156 158 216 218 228 230 246 248	380406279750
SPT(16)	1585258634585981237	0 54 102 122 126 134 164 200 246 282 312 320 324 344 392 446	666905038806
SPT(16)	1585259066121987757	0 4 42 54 64 100 106 142 144 180 186 222 232 244 282 286	1098441045326
SPT(16)	1585259134048490573	0 14 36 38 50 66 84 128 246 290 308 324 336 338 360 374	1166367548142