Prime p₀= 644891858530009 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 10 20 18 6 46 14 40 14 46 6 18 20 10 (?)
a_n: 0 10 30 48 54 100 114 154 168 214 220 238 258 268
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: 268
Found by: amazing
db: batch=60, k=14, 10 20 18 6 46 14 40

SPT(14)	644854952303753	0 8 14 20 24 36 90 164 218 230 234 240 246 254	-36906226256
SPT(14)	644859264491797	0 4 40 60 70 106 166 174 234 270 280 300 336 340	-32594038212
SPT(14)	644859553195157	0 2 14 32 42 60 66 80 86 104 114 132 144 146	-32305334852
TPT(12)	644866745263049	0 2 12 14 72 74 138 140 150 152 180 182	-25113266960
TPT(12)	644868623832569	0 2 12 14 48 50 78 80 108 110 138 140	-23234697440
SPT(14)	644871928763393	0 50 60 74 84 144 156 188 200 260 270 284 294 344	-19929766616
SPT(14)	644891913080183	0 38 48 54 68 86 90 104 108 126 140 146 156 194	54550174
TPT(12)	644900707906787	0 2 12 14 24 26 90 92 120 122 132 134	8849376778
TPT(12)	644902640602739	0 2 72 74 78 80 138 140 162 164 192 194	10782072730
SPT(16)	644905848711791	0 8 42 50 62 86 98 108 140 150 162 186 198 206 240 248	13990181782
TPT(12)	644907877648709	0 2 42 44 48 50 78 80 120 122 132 134	16019118700