Prime p₀= 2638451324375219 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 6 22 20 10 38 4 38 10 20 22 6 14 (?)
a_n: 0 14 20 42 62 72 110 114 152 162 182 204 210 224
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: 224
Found by: crashtech
db: batch=61, k=14, 14 6 22 20 10 38 4

SPT(16)	2638414733744689	0 4 28 30 58 72 78 82 120 124 130 144 172 174 198 202	-36590630530
SPT(14)	2638418732690959	0 10 54 72 78 84 130 162 208 214 220 238 282 292	-32591684260
SPT(14)	2638428914604661	0 10 36 96 106 138 168 220 250 282 292 352 378 388	-22409770558
TPT(12)	2638433253391979	0 2 108 110 138 140 162 164 180 182 192 194	-18070983240
SPT(14)	2638443725695927	0 22 24 34 52 64 70 294 300 312 330 340 342 364	-7598679292
SPT(14)	2638446805346731	0 12 30 42 52 70 82 96 108 126 136 148 166 178	-4519028488
SPT(14)	2638452401895913	0 16 18 30 58 64 78 106 120 126 154 166 168 184	1077520694
SPT(14)	2638474409810971	0 6 28 72 90 112 142 156 186 208 226 270 292 298	23085435752
SPT(14)	2638478440773767	0 14 36 42 60 120 144 152 176 236 254 260 282 296	27116398548
SPT(14)	2638485756022027	0 6 60 106 132 136 160 246 270 274 300 346 400 406	34431646808
SPT(16)	2638488019804327	0 22 52 60 82 84 94 106 150 162 172 174 196 204 234 256	36695429108