Prime p₀= 124532551334318311 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 28 24 8 28 32 10 20 10 32 28 8 24 28 (?)
a_n: 0 28 52 60 88 120 130 150 160 192 220 228 252 280
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: 280
Found by: Alez
db: batch=67, k=14, 28 24 8 28 32 10 20

SPT(14)	124532499667591861	0 48 60 70 88 102 156 172 226 240 258 268 280 328	-51666726450
TPT(12)	124532501179287977	0 2 12 14 24 26 84 86 114 116 150 152	-50155030334
SPT(14)	124532534108691187	0 6 34 66 96 112 156 160 204 220 250 282 310 316	-17225627124
SPT(14)	124532538831084661	0 6 30 46 76 96 132 166 202 222 252 268 292 298	-12503233650
TPT(12)	124532545639841609	0 2 12 14 18 20 30 32 90 92 132 134	-5694476702
TPT(12)	124532549701828859	0 2 42 44 90 92 162 164 180 182 192 194	-1632489452
SPT(14)	124532557739299739	0 14 30 32 54 72 80 102 110 128 150 152 168 182	6404981428
SPT(16)	124532561989869617	0 6 12 20 80 96 110 182 204 276 290 306 366 374 380 386	10655551306
SPT(16)	124532565224862869	0 8 48 74 90 138 152 162 200 210 224 272 288 314 354 362	13890544558
SPT(14)	124532571409199207	0 92 132 140 176 210 242 360 392 426 462 470 510 602	20074880896
SPT(16)	124532586497270869	0 10 22 24 54 60 78 108 124 154 172 178 208 210 222 232	35162952558