Prime p₀= 124532648364459983 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 8 4 86 10 56 4 56 10 86 4 8 6 (?)
a_n: 0 6 14 18 104 114 170 174 230 240 326 330 338 344
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: 344
Found by: Alez
db: batch=67, k=14, 6 8 4 86 10 56 4

SPT(16)	124532565224862869	0 8 48 74 90 138 152 162 200 210 224 272 288 314 354 362	-83139597114
SPT(14)	124532571409199207	0 92 132 140 176 210 242 360 392 426 462 470 510 602	-76955260776
SPT(16)	124532586497270869	0 10 22 24 54 60 78 108 124 154 172 178 208 210 222 232	-61867189114
TPT(12)	124532602737898427	0 2 42 44 90 92 144 146 270 272 282 284	-45626561556
SPT(14)	124532612849147497	0 10 40 60 102 106 112 120 126 130 172 192 222 232	-35515312486
SPT(14)	124532620404393811	0 10 16 30 58 78 82 96 100 120 148 162 168 178	-27960066172
SPT(14)	124532665460596847	0 12 20 44 80 84 110 126 152 156 192 216 224 236	17096136864
TPT(12)	124532667191015051	0 2 78 80 90 92 168 170 180 182 216 218	18826555068
TPT(12)	124532697420998567	0 2 30 32 72 74 150 152 162 164 294 296	49056538584
TPT(12)	124532703603026567	0 2 30 32 102 104 114 116 300 302 354 356	55238566584
SPT(14)	124532716274652239	0 8 12 74 120 134 152 210 228 242 288 350 354 362	67910192256