Prime p₀= 36058036533944041 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 40 12 14 10 6 128 6 10 14 12 40 30 (?)
a_n: 0 30 70 82 96 106 112 240 246 256 270 282 322 352
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: 352
Found by: Cruncher Pete
db: batch=65, k=14, 30 40 12 14 10 6 128

SPT(14)	36057998186649083	0 108 116 150 176 186 194 210 218 228 254 288 296 404	-38347294958
SPT(14)	36058007736766489	0 48 78 112 148 174 190 222 238 264 300 334 364 412	-28797177552
SPT(14)	36058008810249017	0 14 102 104 114 146 152 204 210 242 252 254 342 356	-27723695024
SPT(14)	36058019060449699	0 22 40 88 118 124 174 208 258 264 294 342 360 382	-17473494342
SPT(14)	36058021741677203	0 8 20 24 56 66 78 86 98 108 140 144 156 164	-14792266838
SPT(14)	36058022477957299	0 4 10 42 54 88 94 138 144 178 190 222 228 232	-14055986742
TPT(12)	36058041211437809	0 2 42 44 48 50 90 92 132 134 168 170	4677493768
SPT(14)	36058042851931939	0 4 10 12 54 60 70 72 82 88 130 132 138 142	6317987898
TPT(12)	36058044754811879	0 2 18 20 48 50 60 62 90 92 132 134	8220867838
SPT(14)	36058049236445179	0 54 58 72 84 118 142 210 234 268 280 294 298 352	12702501138
SPT(14)	36058052187581299	0 10 22 78 84 88 108 124 144 148 154 210 222 232	15653637258