Prime p₀= 44421312852383413 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 70 74 30 16 30 26 30 16 30 74 70 24 (?)
a_n: 0 24 94 168 198 214 244 270 300 316 346 420 490 514
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 514
Found by: stoneageman
db: batch=65, k=14, 24 70 74 30 16 30 26

SPT(14)	44421247519483223	0 50 54 90 120 134 140 168 174 188 218 254 258 308	-65332900190
TPT(12)	44421259458041771	0 2 6 8 48 50 90 92 126 128 180 182	-53394341642
SPT(14)	44421261717246979	0 22 42 82 90 108 160 180 232 250 258 298 318 340	-51135136434
SPT(14)	44421263555851771	0 28 52 66 70 72 112 186 226 228 232 246 270 298	-49296531642
TPT(12)	44421265423753961	0 2 30 32 66 68 96 98 150 152 210 212	-47428629452
SPT(14)	44421292360715909	0 38 48 80 92 174 192 200 218 300 312 344 354 392	-20491667504
SPT(14)	44421315685788421	0 6 22 46 72 106 130 132 156 190 216 240 256 262	2833405008
SPT(14)	44421321099674999	0 8 42 90 98 120 134 138 152 174 182 230 264 272	8247291586
TPT(12)	44421346482416117	0 2 54 56 90 92 222 224 294 296 300 302	33630032704
SPT(14)	44421360443332109	0 72 90 98 108 132 152 168 188 212 222 230 248 320	47590948696
TPT(12)	44421362100382637	0 2 30 32 42 44 54 56 60 62 102 104	49247999224