Prime p₀= 353724593677500041 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 50 6 22 32 6 22 6 32 22 6 50 12 (?)
a_n: 0 12 62 68 90 122 128 150 156 188 210 216 266 278
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: 278
Found by: nenym
db: batch=70, k=14, 12 50 6 22 32 6 22

SPT(14)	353724523523259971	0 38 56 98 140 150 176 180 206 216 258 300 318 356	-70154240070
TPT(12)	353724544385494781	0 2 48 50 156 158 168 170 186 188 228 230	-49292005260
SPT(14)	353724557838871613	0 44 56 80 104 128 140 174 186 210 234 258 270 314	-35838628428
SPT(14)	353724564352050127	0 10 34 40 46 90 106 150 166 210 216 222 246 256	-29325449914
SPT(14)	353724585100551089	0 12 14 78 90 102 110 132 140 152 164 228 230 242	-8576948952
SPT(14)	353724589281347527	0 12 22 34 64 94 106 150 162 192 222 234 244 256	-4396152514
SPT(14)	353724608806329301	0 46 58 60 78 88 126 190 228 238 256 258 270 316	15128829260
TPT(12)	353724630462639047	0 2 132 134 150 152 204 206 264 266 330 332	36785139006
SPT(14)	353724638715733247	0 26 32 84 92 114 140 156 182 204 212 264 270 296	45038233206
TPT(12)	353724647949894899	0 2 12 14 18 20 108 110 150 152 198 200	54272394858
STPT(10)	353724659362046897	0 2 12 14 42 44 72 74 84 86	65684546856