Prime p₀= 48338383671468343 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 6 8 78 28 20 16 20 28 78 8 6 4 (?)
a_n: 0 4 10 18 96 124 144 160 180 208 286 294 300 304
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: 304
Found by: UBT - Timbo
db: batch=65, k=14, 4 6 8 78 28 20 16

SPT(14)	48338283018961021	0 10 22 42 66 76 78 160 162 172 196 216 228 238	-100652507322
SPT(14)	48338298254915401	0 12 82 118 132 160 168 220 228 256 270 306 376 388	-85416552942
SPT(14)	48338300494724861	0 20 26 36 38 56 62 126 132 150 152 162 168 188	-83176743482
SPT(14)	48338326537118489	0 2 60 92 114 128 132 170 174 188 210 242 300 302	-57134349854
SPT(14)	48338363524654657	0 4 24 72 100 112 126 160 174 186 214 262 282 286	-20146813686
SPT(14)	48338368816401827	0 20 36 60 62 86 92 114 120 144 146 170 186 206	-14855066516
SPT(14)	48338399973640319	0 8 30 54 72 90 98 174 182 200 218 242 264 272	16302171976
SPT(14)	48338402877812777	0 66 80 90 104 114 156 200 242 252 266 276 290 356	19206344434
SPT(14)	48338410026439861	0 6 12 16 48 52 60 208 216 220 252 256 262 268	26354971518
SPT(14)	48338411899033241	0 38 42 56 72 122 140 198 216 266 282 296 300 338	28227564898
SPT(14)	48338429266915091	0 20 36 42 62 66 80 108 122 126 146 152 168 188	45595446748