Prime p₀= 68180596110389099 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 50 18 54 30 16 104 16 30 54 18 50 30 (?)
a_n: 0 30 80 98 152 182 198 302 318 348 402 420 470 500
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: 500
Found by: scrap
db: batch=67, k=14, 30 50 18 54 30 16 104

SPT(14)	68180546960841163	0 10 76 78 84 118 120 244 246 280 286 288 354 364	-49149547936
SPT(14)	68180549782131383	0 20 48 80 108 150 186 230 266 308 336 368 396 416	-46328257716
SPT(14)	68180563924892467	0 12 42 52 54 60 94 102 136 142 144 154 184 196	-32185496632
SPT(14)	68180575234323977	0 6 20 32 36 42 62 90 110 116 120 132 146 152	-20876065122
SPT(14)	68180582231791999	0 12 22 58 82 88 90 112 114 120 144 180 190 202	-13878597100
SPT(14)	68180589929737553	0 14 20 38 48 80 108 116 144 176 186 204 210 224	-6180651546
SPT(14)	68180603507720497	0 30 34 66 82 132 150 166 184 234 250 282 286 316	7397331398
SPT(14)	68180618961470929	0 12 40 70 72 84 90 112 118 130 132 162 190 202	22851081830
SPT(14)	68180671320576317	0 20 42 90 104 122 140 174 192 210 224 272 294 314	75210187218
SPT(14)	68180676922125499	0 4 30 34 40 54 70 102 118 132 138 142 168 172	80811736400
SPT(14)	68180692679398993	0 18 46 66 70 78 88 126 136 144 148 168 196 214	96569009894