Prime p₀= 86128636974786983 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 54 12 2 12 24 66 4 66 24 12 2 12 54 (?)
a_n: 0 54 66 68 80 104 170 174 240 264 276 278 290 344
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: 344
Found by: Paul
db: batch=67, k=14, 54 12 2 12 24 66 4

SPT(14)	86128568633773417	0 6 16 72 82 126 156 166 196 240 250 306 316 322	-68341013566
SPT(14)	86128576290060587	0 26 50 54 56 66 84 122 140 150 152 156 180 206	-60684726396
SPT(14)	86128583740381421	0 26 68 152 162 182 210 218 246 266 276 360 402 428	-53234405562
SPT(14)	86128583834833117	0 6 54 90 142 162 166 240 244 264 316 352 400 406	-53139953866
SPT(14)	86128605755233861	0 28 40 42 72 102 108 130 136 166 196 198 210 238	-31219553122
SPT(14)	86128617554032181	0 8 38 72 108 156 182 186 212 260 296 330 360 368	-19420754802
TPT(12)	86128639842741371	0 2 36 38 78 80 96 98 120 122 150 152	2867954388
SPT(14)	86128646494075531	0 126 132 142 166 190 208 240 258 282 306 316 322 448	9519288548
TPT(12)	86128667273607017	0 2 12 14 24 26 54 56 90 92 252 254	30298820034
SPT(14)	86128677230052433	0 70 118 124 130 138 144 190 196 204 210 216 264 334	40255265450
SPT(16)	86128682720717023	0 30 34 60 100 118 136 148 156 168 186 204 244 270 274 304	45745930040