Prime p₀= 318538351602024331 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 82 6 32 30 12 18 40 18 12 30 32 6 82 (?)
a_n: 0 82 88 120 150 162 180 220 238 250 280 312 318 400
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: 400
Found by: amazing
db: batch=70, k=14, 82 6 32 30 12 18 40

SPT(14)	318538165526663249	0 14 30 62 68 72 98 114 140 144 150 182 198 212	-186075361082
SPT(16)	318538178574137659	0 12 22 54 64 88 100 168 184 252 264 288 298 330 340 352	-173027886672
SPT(14)	318538202568852821	0 20 38 66 86 128 146 150 168 210 230 258 276 296	-149033171510
SPT(16)	318538220346094369	0 10 48 78 84 88 112 132 190 210 234 238 244 274 312 322	-131255929962
SPT(14)	318538250664012979	0 4 28 40 42 64 78 94 108 130 132 144 168 172	-100938011352
SPT(14)	318538266821862631	0 10 22 36 46 90 112 126 148 192 202 216 228 238	-84780161700
SPT(14)	318538357088019157	0 6 64 70 82 90 94 192 196 204 216 222 280 286	5485994826
SPT(16)	318538365456475739	0 38 108 134 150 222 312 350 372 410 500 572 588 614 684 722	13854451408
TPT(12)	318538369611141917	0 2 12 14 42 44 84 86 144 146 150 152	18009117586
SPT(14)	318538370472878279	0 8 44 50 54 78 104 114 140 164 168 174 210 218	18870853948
TPT(12)	318538427001048491	0 2 30 32 66 68 150 152 156 158 186 188	75399024160