Prime p₀= 425582245214933119 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 66 12 20 28 2 40 2 28 20 12 66 4 (?)
a_n: 0 4 70 82 102 130 132 172 174 202 222 234 300 304
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: 304
Found by: Cruncher Pete
db: batch=70, k=14, 4 66 12 20 28 2 40

SPT(14)	425582094375251719	0 22 28 54 112 124 180 232 288 300 358 384 390 412	-150839681400
SPT(14)	425582097645699923	0 56 126 140 194 210 236 348 374 390 444 458 528 584	-147569233196
TPT(12)	425582109294627011	0 2 138 140 150 152 156 158 198 200 210 212	-135920306108
SPT(14)	425582132046782057	0 6 12 36 42 62 110 156 204 224 230 254 260 266	-113168151062
SPT(14)	425582156932017457	0 30 42 52 60 72 94 102 124 136 144 154 166 196	-88282915662
SPT(14)	425582194144329347	0 2 24 30 32 86 116 180 210 264 266 272 294 296	-51070603772
SPT(14)	425582250312305509	0 10 64 70 78 108 120 142 154 184 192 198 252 262	5097372390
SPT(14)	425582258880679273	0 6 18 24 64 66 70 84 88 90 130 136 148 154	13665746154
SPT(14)	425582276205854267	0 14 24 66 80 86 104 156 174 180 194 236 246 260	30990921148
TPT(12)	425582284293944801	0 2 78 80 90 92 126 128 156 158 168 170	39079011682
SPT(16)	425582295724669729	0 22 42 88 90 100 112 130 132 150 162 172 174 220 240 262	50509736610