Prime p₀= 502853965895694461 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 32 36 42 28 8 10 26 10 8 28 42 36 32 (?)
a_n: 0 32 68 110 138 146 156 182 192 200 228 270 306 338
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: 338
Found by: Rantanplan
db: batch=71, k=14, 32 36 42 28 8 10 26

TPT(12)	502853872703215727	0 2 24 26 114 116 150 152 180 182 210 212	-93192478734
SPT(14)	502853901341306843	0 6 18 60 66 96 108 146 158 188 194 236 248 254	-64554387618
SPT(16)	502853903628314869	0 28 42 64 78 120 130 144 208 222 232 274 288 310 324 352	-62267379592
SPT(14)	502853912324007173	0 26 66 90 96 140 146 150 156 200 206 230 270 296	-53571687288
SPT(14)	502853915523009461	0 6 12 32 56 68 78 80 90 102 126 146 152 158	-50372685000
SPT(14)	502853918796870829	0 28 48 70 82 84 102 160 178 180 192 214 234 262	-47098823632
SPT(14)	502853981174297099	0 20 84 90 92 162 182 222 242 312 314 320 384 404	15278602638
SPT(14)	502853985626310121	0 42 48 52 70 90 130 198 238 258 276 280 286 328	19730615660
SPT(14)	502853992150774969	0 4 12 34 48 70 82 90 102 124 138 160 168 172	26255080508
SPT(14)	502853995454318203	0 10 34 36 54 66 70 90 94 106 124 126 150 160	29558623742
SPT(14)	502854029917145327	0 24 42 44 66 80 102 134 156 170 192 194 212 236	64021450866