Prime p₀= 402557516332378961 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 2 10 14 42 10 8 76 8 10 42 14 10 2 (?)
a_n: 0 2 12 26 68 78 86 162 170 180 222 236 246 248
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: Cruncher Pete
db: batch=70, k=14, 2 10 14 42 10 8 76

SPT(14)	402557391862991447	0 56 66 84 90 96 110 180 194 200 206 224 234 290	-124469387514
SPT(14)	402557405188795459	0 10 30 42 58 72 84 88 100 114 130 142 162 172	-111143583502
SPT(14)	402557460613793659	0 10 42 52 88 108 130 150 172 192 228 238 270 280	-55718585302
SPT(14)	402557480349748739	0 42 98 108 120 140 164 168 192 212 224 234 290 332	-35982630222
SPT(14)	402557485426668289	0 28 40 48 90 132 138 142 148 190 232 240 252 280	-30905710672
SPT(14)	402557513456620237	0 94 102 112 144 150 232 234 316 322 354 364 372 466	-2875758724
SPT(14)	402557591553866537	0 12 104 110 116 152 162 164 174 210 216 222 314 326	75221487576
SPT(14)	402557594239630733	0 8 30 36 78 80 116 120 156 158 200 206 228 236	77907251772
TPT(12)	402557600371990181	0 2 18 20 60 62 96 98 126 128 150 152	84039611220
SPT(16)	402557604471054463	0 48 54 78 88 126 144 166 168 190 208 246 256 280 286 334	88138675502
TPT(12)	402557621144516711	0 2 18 20 96 98 108 110 156 158 168 170	104812137750