Prime p₀= 346241428952482321 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 10 60 20 12 6 78 16 78 6 12 20 60 10 (?)
a_n: 0 10 70 90 102 108 186 202 280 286 298 318 378 388
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: 388
Found by: Cruncher Pete
db: batch=70, k=14, 10 60 20 12 6 78 16

SPT(14)	346241319660937693	0 4 6 48 88 100 114 130 144 156 196 238 240 244	-109291544628
SPT(14)	346241359046094047	0 20 44 74 90 96 126 230 260 266 282 312 336 356	-69906388274
SPT(14)	346241369903443631	0 18 30 38 80 96 110 168 182 198 240 248 260 278	-59049038690
SPT(14)	346241372544258797	0 2 6 20 30 56 60 86 90 116 126 140 144 146	-56408223524
SPT(14)	346241393933746723	0 88 90 156 198 214 220 234 240 256 298 364 366 454	-35018735598
TPT(12)	346241418896019371	0 2 6 8 90 92 96 98 168 170 180 182	-10056462950
SPT(14)	346241439034114961	0 12 42 60 78 126 128 150 152 200 218 236 266 278	10081632640
SPT(14)	346241440485271271	0 30 72 78 108 110 120 140 150 152 182 188 230 260	11532788950
SPT(14)	346241449001447291	0 8 26 110 120 138 146 300 308 326 336 420 438 446	20048964970
SPT(14)	346241478839866637	0 20 32 42 86 122 126 170 174 210 254 264 276 296	49887384316
SPT(14)	346241499463054529	0 12 20 32 38 68 78 164 174 204 210 222 230 242	70510572208