Prime p₀= 118131366131112371 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 14 12 16 24 30 14 30 24 16 12 14 6 (?)
a_n: 0 6 20 32 48 72 102 116 146 170 186 198 212 218
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: 218
Found by: amazing
db: batch=67, k=14, 6 14 12 16 24 30 14

SPT(14)	118131321737907743	0 20 38 90 140 146 198 248 300 306 356 408 426 446	-44393204628
SPT(14)	118131324761726489	0 12 38 42 90 98 110 120 132 140 188 192 218 230	-41369385882
SPT(14)	118131325978980173	0 26 38 68 84 90 96 98 104 110 126 156 168 194	-40152132198
SPT(16)	118131335013962813	0 20 26 30 56 86 138 140 174 176 228 258 284 288 294 314	-31117149558
TPT(12)	118131341293068071	0 2 36 38 66 68 78 80 90 92 180 182	-24838044300
SPT(14)	118131356462904341	0 6 18 20 36 68 90 98 120 152 168 170 182 188	-9668208030
SPT(14)	118131379434074113	0 16 18 118 148 150 160 186 196 198 228 328 330 346	13302961742
SPT(14)	118131384106900669	0 22 40 42 58 72 108 112 148 162 178 180 198 220	17975788298
SPT(14)	118131397237865009	0 42 60 102 104 140 144 260 264 300 302 344 362 404	31106752638
TPT(12)	118131400485506909	0 2 90 92 210 212 222 224 228 230 408 410	34354394538
TPT(12)	118131415940304119	0 2 42 44 78 80 132 134 150 152 192 194	49809191748