Prime p₀= 2513597501212633049 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 12 42 126 30 12 30 30 12 30 126 42 12 (?)
a_n: 0 12 54 180 210 222 252 282 294 324 450 492 504
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: 504
Found by: JayPi
db: batch=82, k=13, 12 42 126 30 12 30

TPT(14)	2513596835798532161	0 2 18 20 60 62 228 230 390 392 396 398 408 410	-665414100888
STPT(10)	2513596892379518129	0 2 30 32 60 62 90 92 120 122	-608833114920
SPT(16)	2513597264759873857	0 4 22 42 66 70 76 82 174 180 186 190 214 234 252 256	-236452759192
STPT(10)	2513597289221357159	0 2 42 44 60 62 78 80 120 122	-211991275890
SPT(16)	2513597379906255743	0 38 114 144 228 234 240 246 338 344 350 356 440 470 546 584	-121306377306
SPT(16)	2513597428180414949	0 2 14 44 74 84 104 140 162 198 218 228 258 288 300 302	-73032218100
SPT(16)	2513597542306299221	0 2 68 126 180 222 240 276 362 398 416 458 512 570 636 638	41093666172
SPT(16)	2513597954482013143	0 6 10 30 54 66 114 118 156 160 208 220 244 264 268 274	453269380094
STPT(10)	2513598032722251227	0 2 30 32 42 44 54 56 84 86	531509618178
STPT(10)	2513598491950647989	0 2 18 20 30 32 42 44 60 62	990738014940
SPT(16)	2513598584024340247	0 12 54 64 66 112 130 136 180 186 204 250 252 262 304 316	1082811707198