Prime p₀= 1042309696287580001 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 72 30 36 12 30 30 30 30 12 36 30 72 (?)
a_n: 0 72 102 138 150 180 210 240 270 282 318 348 420
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 420
Found by: UBT - Timbo
db: batch=76, k=13, 72 30 36 12 30 30

STPT(10)	1042308982958662589	0 2 18 20 60 62 102 104 120 122	-713328917412
SPT(16)	1042309158983693389	0 40 78 88 118 154 208 258 334 384 438 474 504 514 552 592	-537303886612
SPT(16)	1042309218255772273	0 36 60 70 144 156 174 190 210 226 244 256 330 340 364 400	-478031807728
SPT(16)	1042309261649431543	0 10 48 54 66 70 78 94 120 136 144 148 160 166 204 214	-434638148458
SPT(16)	1042309306855993171	0 6 30 42 52 76 112 130 132 150 186 210 220 232 256 262	-389431586830
SPT(16)	1042309407554476969	0 40 42 88 102 118 138 250 252 364 384 400 414 460 462 502	-288733103032
SPT(16)	1042309729116178507	0 6 12 36 40 64 76 180 196 300 312 336 340 364 370 376	32828598506
STPT(12)	1042309930582461389	0 2 30 32 60 62 102 104 132 134 162 164	234294881388
STPT(10)	1042309975661180921	0 2 30 32 60 62 90 92 120 122	279373600920
SPT(16)	1042310006614335973	0 16 70 114 120 156 160 180 184 204 208 244 250 294 348 364	310326755972
SPT(16)	1042310685087698063	0 14 20 60 66 86 120 134 156 170 204 224 230 270 276 290	988800118062