Prime p₀= 45187971750521653 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 54 60 4 6 18 38 18 6 4 60 54 6 (?)
a_n: 0 6 60 120 124 130 148 186 204 210 214 274 328 334
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: 334
Found by: ChelseaOilman
db: batch=65, k=14, 6 54 60 4 6 18 38

SPT(14)	45187933915313323	0 10 58 70 84 88 94 114 120 124 138 150 198 208	-37835208330
SPT(14)	45187934574725653	0 76 78 84 106 118 130 144 156 168 190 196 198 274	-37175796000
SPT(14)	45187935364268093	0 78 90 116 134 140 200 204 264 270 288 314 326 404	-36386253560
SPT(14)	45187944733532059	0 12 28 30 40 42 60 112 130 132 142 144 160 172	-27016989594
SPT(14)	45187965990715969	0 40 58 78 82 114 124 168 178 210 214 234 252 292	-5759805684
SPT(14)	45187966822118023	0 10 16 54 100 124 126 154 156 180 226 264 270 280	-4928403630
SPT(14)	45187972282604573	0 36 50 56 66 90 104 120 134 158 168 174 188 224	532082920
SPT(14)	45187973802577523	0 30 54 164 168 170 194 210 234 236 240 350 374 404	2052055870
SPT(14)	45187998576939091	0 16 30 52 66 96 108 130 142 172 186 208 222 238	26826417438
SPT(14)	45187999444855567	0 24 34 66 72 82 94 132 144 154 160 192 202 226	27694333914
SPT(14)	45188015366246453	0 30 60 98 116 120 126 128 134 138 156 194 224 254	43615724800