Prime p₀= 3018935144386735181 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 12 54 24 126 54 36 36 54 126 24 54 12 (?)
a_n: 0 12 66 90 216 270 306 342 396 522 546 600 612
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: 612
Found by: Groo
db: batch=82, k=13, 12 54 24 126 54 36

SPT(16)	3018932770725784691	0 8 42 72 176 188 216 228 230 242 270 282 386 416 450 458	-2373660950490
SPT(16)	3018932783426175397	0 12 34 42 52 64 90 124 132 166 192 204 214 222 244 256	-2360960559784
SPT(16)	3018933091181198533	0 24 30 58 66 88 118 184 210 276 306 328 336 364 370 394	-2053205536648
SPT(16)	3018933748916567021	0 30 38 42 66 68 80 92 156 168 180 182 206 210 218 248	-1395470168160
TPT(14)	3018934772881634909	0 2 42 44 108 110 168 170 198 200 222 224 240 242	-371505100272
SPT(16)	3018934977666854189	0 38 60 62 74 114 128 132 140 144 158 198 210 212 234 272	-166719880992
STPT(10)	3018935185188493391	0 2 6 8 18 20 30 32 36 38	40801758210
SPT(16)	3018935481785060977	0 16 24 42 60 102 130 132 154 156 184 226 244 262 270 286	337398325796
SPT(16)	3018935487890531771	0 2 8 18 66 92 128 162 206 240 276 302 350 360 366 368	343503796590
SPT(16)	3018935504849796967	0 40 52 54 70 94 166 172 234 240 312 336 352 354 366 406	360463061786
STPT(10)	3018935772046579139	0 2 18 20 30 32 42 44 60 62	627659843958