Prime p₀= 347337096346125737 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 62 58 12 20 40 2 136 2 40 20 12 58 62 (?)
a_n: 0 62 120 132 152 192 194 330 332 372 392 404 462 524
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: 524
Found by: nenym
db: batch=70, k=14, 62 58 12 20 40 2 136

SPT(14)	347337009913546423	0 70 96 114 144 148 196 198 246 250 280 298 324 394	-86432579314
SPT(16)	347337014357111213	0 50 54 68 78 140 144 200 204 260 264 326 336 350 354 404	-81989014524
SPT(14)	347337027145904077	0 34 46 52 60 66 72 214 220 226 234 240 252 286	-69200221660
SPT(14)	347337039561523379	0 2 32 60 92 110 114 140 144 162 194 222 252 254	-56784602358
TPT(12)	347337039978888917	0 2 24 26 72 74 84 86 144 146 150 152	-56367236820
SPT(16)	347337078080013233	0 6 36 50 60 66 78 80 84 86 98 104 114 128 158 164	-18266112504
SPT(14)	347337102898616791	0 42 78 108 112 120 126 142 148 156 160 190 226 268	6552491054
SPT(14)	347337103621086031	0 10 12 22 36 46 52 96 102 112 126 136 138 148	7274960294
SPT(16)	347337114950806319	0 14 54 62 80 104 122 132 230 240 258 282 300 308 348 362	18604680582
TPT(12)	347337158245180709	0 2 12 14 48 50 72 74 132 134 138 140	61899054972
SPT(14)	347337183939833993	0 44 50 78 86 98 104 120 126 138 146 174 180 224	87593708256