Prime p₀= 12171257797561781 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 20 12 34 14 18 18 16 18 18 14 34 12 20 (?)
a_n: 0 20 32 66 80 98 116 132 150 168 182 216 228 248
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: 248
Found by: Scortch
db: batch=62, k=14, 20 12 34 14 18 18 16

SPT(14)	12171244444029571	0 60 88 112 138 148 168 172 192 202 228 252 280 340	-13353532210
SPT(14)	12171245666370107	0 50 114 116 120 140 150 176 186 206 210 212 276 326	-12131191674
TPT(12)	12171249945088061	0 2 18 20 36 38 78 80 120 122 126 128	-7852473720
SPT(14)	12171250824478819	0 24 40 82 94 108 112 120 124 138 150 192 208 232	-6973082962
SPT(14)	12171251150514719	0 2 14 30 90 132 152 162 182 224 284 300 312 314	-6647047062
TPT(12)	12171251746305269	0 2 48 50 60 62 72 74 90 92 132 134	-6051256512
SPT(14)	12171259997311699	0 12 48 72 78 100 138 142 180 202 208 232 268 280	2199749918
SPT(14)	12171263291293231	0 16 42 66 88 100 130 198 228 240 262 286 312 328	5493731450
SPT(14)	12171274472496031	0 22 36 46 48 58 70 78 90 100 102 112 126 148	16674934250
SPT(14)	12171274561134529	0 22 52 64 112 114 120 142 148 150 198 210 240 262	16763572748
SPT(14)	12171276757818259	0 34 58 70 78 90 102 130 142 154 162 174 198 232	18960256478