Prime p₀= 400284127573001131 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 40 38 10 18 24 20 58 20 24 18 10 38 40 (?)
a_n: 0 40 78 88 106 130 150 208 228 252 270 280 318 358
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: 358
Found by: desktop64
db: batch=70, k=14, 40 38 10 18 24 20 58

SPT(14)	400284039040515593	0 6 14 80 96 110 120 194 204 218 234 300 308 314	-88532485538
SPT(14)	400284048211981939	0 22 42 48 54 64 70 102 108 118 124 130 150 172	-79361019192
SPT(16)	400284050769758341	0 36 90 142 198 238 250 268 270 288 300 340 396 448 502 538	-76803242790
SPT(14)	400284055048508357	0 44 60 72 90 132 140 174 182 224 242 254 270 314	-72524492774
TPT(12)	400284064623335999	0 2 30 32 78 80 120 122 150 152 168 170	-62949665132
SPT(14)	400284072832833697	0 22 76 114 132 162 232 264 334 364 382 420 474 496	-54740167434
SPT(14)	400284135414882569	0 8 30 50 60 68 74 198 204 212 222 242 264 272	7841881438
TPT(12)	400284136160345537	0 2 90 92 102 104 144 146 300 302 312 314	8587344406
SPT(14)	400284179075439319	0 22 42 72 90 118 124 198 204 232 250 280 300 322	51502438188
SPT(14)	400284200776181537	0 14 56 72 104 116 140 186 210 222 254 270 312 326	73203180406
TPT(12)	400284210261022427	0 2 60 62 90 92 174 176 240 242 300 302	82688021296