Prime p₀= 7409257514085769 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 42 16 30 36 8 18 52 18 8 36 30 16 42 (?)
a_n: 0 42 58 88 124 132 150 202 220 228 264 294 310 352
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: 352
Found by: crashtech
db: batch=62, k=14, 42 16 30 36 8 18 52

SPT(14)	7409203838459387	0 2 44 60 66 116 122 144 150 200 206 222 264 266	-53675626382
SPT(14)	7409210709077563	0 24 36 40 96 114 124 126 136 154 210 214 226 250	-46805008206
SPT(14)	7409226120169231	0 18 28 30 42 70 88 120 138 166 178 180 190 208	-31393916538
TPT(12)	7409227937533991	0 2 30 32 48 50 156 158 186 188 258 260	-29576551778
TPT(12)	7409249325270341	0 2 48 50 96 98 108 110 126 128 246 248	-8188815428
SPT(14)	7409256223534721	0 6 12 56 66 80 90 98 108 122 132 176 182 188	-1290551048
SPT(14)	7409261335680151	0 6 12 100 156 160 210 238 288 292 348 436 442 448	3821594382
SPT(14)	7409270054656901	0 2 26 62 72 78 92 96 110 116 126 162 186 188	12540571132
SPT(14)	7409275261152053	0 14 50 80 86 120 126 128 134 168 174 204 240 254	17747066284
SPT(14)	7409278217612291	0 30 80 140 146 180 182 306 308 342 348 408 458 488	20703526522
SPT(14)	7409278295592727	0 12 22 36 42 54 64 72 82 94 100 114 124 136	20781506958