Prime p₀= 400284039040515593 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 8 66 16 14 10 74 10 14 16 66 8 6 (?)
a_n: 0 6 14 80 96 110 120 194 204 218 234 300 308 314
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: 314
Found by: desktop64
db: batch=70, k=14, 6 8 66 16 14 10 74

SPT(14)	400283992135633373	0 6 14 36 50 80 98 216 234 264 278 300 308 314	-46904882220
TPT(12)	400283998144116017	0 2 150 152 204 206 222 224 282 284 294 296	-40896399576
SPT(14)	400284013031232899	0 24 44 60 62 84 144 170 230 252 254 270 290 314	-26009282694
SPT(14)	400284029371168549	0 18 22 24 34 40 54 118 132 138 148 150 154 172	-9669347044
TPT(12)	400284030760295237	0 2 24 26 84 86 150 152 162 164 174 176	-8280220356
SPT(14)	400284036093931667	0 20 32 72 104 116 140 186 210 222 254 294 306 326	-2946583926
SPT(14)	400284048211981939	0 22 42 48 54 64 70 102 108 118 124 130 150 172	9171466346
SPT(16)	400284050769758341	0 36 90 142 198 238 250 268 270 288 300 340 396 448 502 538	11729242748
SPT(14)	400284055048508357	0 44 60 72 90 132 140 174 182 224 242 254 270 314	16007992764
TPT(12)	400284064623335999	0 2 30 32 78 80 120 122 150 152 168 170	25582820406
SPT(14)	400284072832833697	0 22 76 114 132 162 232 264 334 364 382 420 474 496	33792318104