Prime p₀= 64541924016588919 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 70 18 20 24 16 12 2 12 16 24 20 18 70 (?)
a_n: 0 70 88 108 132 148 160 162 174 190 214 234 252 322
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: 322
Found by: Vit Kliber
db: batch=67, k=14, 70 18 20 24 16 12 2

SPT(14)	64541855820569923	0 66 108 126 148 190 220 234 264 306 328 346 388 454	-68196018996
SPT(14)	64541856489082571	0 36 78 86 120 126 140 156 170 176 210 218 260 296	-67527506348
SPT(14)	64541875729758563	0 8 24 30 44 48 66 68 86 90 104 110 126 134	-48286830356
SPT(14)	64541886694568977	0 22 40 114 136 162 180 196 214 240 262 336 354 376	-37322019942
SPT(14)	64541900495750287	0 22 30 82 100 142 162 172 192 234 252 304 312 334	-23520838632
SPT(14)	64541917030832239	0 12 34 60 82 130 150 322 342 390 412 438 460 472	-6985756680
SPT(14)	64541931215335019	0 8 42 62 68 102 120 122 140 174 180 200 234 242	7198746100
SPT(14)	64541933286664831	0 12 46 76 100 142 160 222 240 282 306 336 370 382	9270075912
SPT(14)	64541946762870389	0 24 72 80 102 158 168 194 204 260 282 290 338 362	22746281470
SPT(14)	64541953674565699	0 70 118 160 184 202 258 304 360 378 402 444 492 562	29657976780
SPT(16)	64541983313792111	0 18 26 36 56 72 128 138 140 150 206 222 242 252 260 278	59297203192