Prime p₀= 425578844295225311 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 42 24 44 6 24 10 2 10 24 6 44 24 42 (?)
a_n: 0 42 66 110 116 140 150 152 162 186 192 236 260 302
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: 302
Found by: Cruncher Pete
db: batch=70, k=14, 42 24 44 6 24 10 2

TPT(12)	425578794946164059	0 2 30 32 72 74 168 170 222 224 252 254	-49349061252
SPT(14)	425578803501121427	0 2 26 42 62 132 146 156 170 240 260 276 300 302	-40794103884
SPT(14)	425578808946669337	0 10 22 24 36 40 42 124 126 130 142 144 156 166	-35348555974
SPT(14)	425578836690210839	0 32 38 72 80 98 102 110 114 132 140 174 180 212	-7605014472
SPT(14)	425578838555844251	0 42 80 102 122 150 152 180 182 210 230 252 290 332	-5739381060
SPT(16)	425578842038993221	0 18 42 66 78 106 112 120 178 186 192 220 232 256 280 298	-2256232090
SPT(14)	425578887104227993	0 100 118 234 250 258 268 276 286 294 310 426 444 544	42809002682
SPT(14)	425578923723683153	0 50 56 116 128 138 140 156 158 168 180 240 246 296	79428457842
STPT(10)	425578934703907739	0 2 18 20 30 32 42 44 60 62	90408682428
SPT(14)	425578940315573977	0 22 52 60 66 70 102 154 186 190 196 204 234 256	96020348666
SPT(14)	425578943987218891	0 30 58 70 100 108 112 156 160 168 198 210 238 268	99691993580