Prime p₀= 347337114950806319 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 40 8 18 24 18 10 98 10 18 24 18 8 40 14 (?)
a_n: 0 14 54 62 80 104 122 132 230 240 258 282 300 308 348 362
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 362
Found by: nenym
db: batch=70, k=16, 14 40 8 18 24 18 10 98

SPT(14)	347337039561523379	0 2 32 60 92 110 114 140 144 162 194 222 252 254	-75389282940
TPT(12)	347337039978888917	0 2 24 26 72 74 84 86 144 146 150 152	-74971917402
SPT(16)	347337078080013233	0 6 36 50 60 66 78 80 84 86 98 104 114 128 158 164	-36870793086
SPT(14)	347337096346125737	0 62 120 132 152 192 194 330 332 372 392 404 462 524	-18604680582
SPT(14)	347337102898616791	0 42 78 108 112 120 126 142 148 156 160 190 226 268	-12052189528
SPT(14)	347337103621086031	0 10 12 22 36 46 52 96 102 112 126 136 138 148	-11329720288
TPT(12)	347337158245180709	0 2 12 14 48 50 72 74 132 134 138 140	43294374390
SPT(14)	347337183939833993	0 44 50 78 86 98 104 120 126 138 146 174 180 224	68989027674
SPT(14)	347337191525809591	0 40 58 66 88 96 100 108 112 120 142 150 168 208	76575003272
TPT(12)	347337193150195607	0 2 30 32 60 62 72 74 84 86 144 146	78199389288
SPT(14)	347337211790749879	0 18 24 34 40 52 130 132 210 222 228 238 244 262	96839943560