Prime p₀= 381697124134670147 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 20 118 48 2 6 16 6 2 48 118 20 6 (?)
a_n: 0 6 26 144 192 194 200 216 222 224 272 390 410 416
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: 416
Found by: Cruncher Pete
db: batch=70, k=14, 6 20 118 48 2 6 16

SPT(14)	381697041324325877	0 2 20 36 42 54 86 90 122 134 140 156 174 176	-82810344270
TPT(12)	381697090200341777	0 2 12 14 24 26 54 56 162 164 222 224	-33934328370
SPT(14)	381697097846737109	0 2 12 30 42 78 90 92 104 140 152 170 180 182	-26287933038
SPT(14)	381697101957403403	0 8 30 56 66 78 108 146 176 188 198 224 246 254	-22177266744
SPT(14)	381697102775448451	0 10 12 60 70 88 102 118 132 150 160 208 210 220	-21359221696
SPT(16)	381697121558170757	0 6 44 62 86 92 122 126 170 174 204 210 234 252 290 296	-2576499390
SPT(14)	381697124524732969	0 10 24 78 84 102 112 120 130 148 154 208 222 232	390062822
SPT(14)	381697158482084629	0 10 42 90 120 132 142 162 172 184 214 262 294 304	34347414482
SPT(14)	381697180025980811	0 62 72 90 102 110 132 248 270 278 290 308 318 380	55891310664
TPT(12)	381697196165734067	0 2 90 92 132 134 150 152 210 212 222 224	72031063920
SPT(14)	381697226518549159	0 30 40 58 64 82 142 150 210 228 234 252 262 292	102383879012