Prime p₀= 6128666248841189 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 8 34 8 4 38 6 16 6 38 4 8 34 8 (?)
a_n: 0 8 42 50 54 92 98 114 120 158 162 170 204 212
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: 212
Found by: paulteo
db: batch=62, k=14, 8 34 8 4 38 6 16

SPT(14)	6128625379296163	0 34 46 64 120 126 130 144 148 154 210 228 240 274	-40869545026
SPT(14)	6128628174650281	0 16 46 58 60 72 88 150 166 178 180 192 222 238	-38074190908
SPT(14)	6128630460455329	0 24 84 112 114 124 144 190 210 220 222 250 310 334	-35788385860
SPT(16)	6128635347350099	0 8 12 24 38 110 134 140 162 168 192 264 278 290 294 302	-30901491090
SPT(14)	6128640606069413	0 6 14 80 84 90 134 180 224 230 234 300 308 314	-25642771776
TPT(12)	6128654670944957	0 2 72 74 84 86 90 92 180 182 312 314	-11577896232
SPT(14)	6128674800445643	0 50 56 78 98 120 134 150 164 186 206 228 234 284	8551604454
SPT(14)	6128678943544151	0 36 42 102 120 122 128 150 156 158 176 236 242 278	12694702962
SPT(14)	6128679068053889	0 2 32 72 90 92 128 144 180 182 200 240 270 272	12819212700
SPT(14)	6128681819817553	0 10 28 58 64 78 84 100 106 120 126 156 174 184	15570976364
SPT(14)	6128688607536557	0 56 60 66 74 80 84 182 186 192 200 206 210 266	22358695368