Prime p₀= 281252080376490499 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 48 90 12 12 42 6 22 6 42 12 12 90 48 (?)
a_n: 0 48 138 150 162 204 210 232 238 280 292 304 394 442
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: 442
Found by: desktop64
db: batch=69, k=14, 48 90 12 12 42 6 22

SPT(14)	281252020421416861	0 12 22 46 76 82 108 190 216 222 252 276 286 298	-59955073638
SPT(14)	281252025184415503	0 18 28 36 106 108 126 130 148 150 220 228 238 256	-55192074996
SPT(14)	281252043419734481	0 20 30 56 66 68 78 98 108 110 120 146 156 176	-36956756018
SPT(20)	281252043840677209	0 10 24 40 54 70 82 88 102 108 154 160 174 180 192 208 222 238 252 262	-36535813290
TPT(12)	281252044735107491	0 2 36 38 90 92 126 128 168 170 246 248	-35641383008
SPT(14)	281252064330899341	0 78 82 88 102 108 120 130 142 148 162 168 172 250	-16045591158
SPT(14)	281252117231539943	0 26 30 68 84 90 110 144 164 170 186 224 228 254	36855049444
SPT(14)	281252117793046591	0 28 72 78 112 156 220 258 322 366 400 406 450 478	37416556092
TPT(14)	281252124398897999	0 2 18 20 72 74 138 140 198 200 228 230 240 242	44022407500
SPT(14)	281252129930831407	0 6 52 64 90 124 126 160 162 196 222 234 280 286	49554340908
SPT(14)	281252152677762659	0 8 50 108 110 128 150 182 204 222 224 282 324 332	72301272160