Prime p₀= 514757452543297193 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 30 70 2 10 12 8 12 10 2 70 30 14 (?)
a_n: 0 14 44 114 116 126 138 146 158 168 170 240 270 284
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: 284
Found by: scrap
db: batch=71, k=14, 14 30 70 2 10 12 8

SPT(14)	514757336803725439	0 4 34 64 72 88 100 102 114 130 138 168 198 202	-115739571754
SPT(14)	514757339785531277	0 12 32 80 96 194 206 270 282 380 396 444 464 476	-112757765916
SPT(14)	514757347614500987	0 20 44 120 122 126 140 156 170 174 176 252 276 296	-104928796206
SPT(14)	514757353752944801	0 30 92 98 126 156 168 170 182 212 240 246 308 338	-98790352392
TPT(12)	514757367050390081	0 2 36 38 60 62 78 80 258 260 288 290	-85492907112
SPT(14)	514757408383947229	0 4 70 78 102 120 168 184 232 250 274 282 348 352	-44159349964
SPT(20)	514757463170341219	0 78 108 112 114 190 202 208 244 252 400 408 444 450 462 538 540 544 574 652	10627044026
TPT(12)	514757472908467277	0 2 12 14 24 26 30 32 54 56 144 146	20365170084
SPT(14)	514757485789279657	0 40 70 96 100 106 112 150 156 162 166 192 222 262	33245982464
SPT(14)	514757496619802753	0 6 14 20 36 120 170 174 224 308 324 330 338 344	44076505560
SPT(14)	514757513554375537	0 36 64 70 106 112 124 162 174 180 216 222 250 286	61011078344