Prime p₀= 454851667475172127 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 4 14 52 20 6 22 6 20 52 14 4 6 (?)
a_n: 0 6 10 24 76 96 102 124 130 150 202 216 220 226
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: 226
Found by: Cruncher Pete
db: batch=70, k=14, 6 4 14 52 20 6 22

SPT(14)	454851563503705163	0 26 50 66 116 120 126 284 290 294 344 360 384 410	-103971466964
SPT(14)	454851568478327359	0 10 28 40 52 70 84 118 132 150 162 174 192 202	-98996844768
TPT(12)	454851598221173891	0 2 36 38 78 80 138 140 150 152 210 212	-69253998236
SPT(14)	454851652673281093	0 18 28 130 154 184 226 228 270 300 324 426 436 454	-14801891034
TPT(12)	454851654392710031	0 2 78 80 156 158 186 188 198 200 210 212	-13082462096
SPT(14)	454851664028916953	0 30 38 44 110 116 134 270 288 294 360 366 374 404	-3446255174
SPT(14)	454851687542668649	0 8 78 80 104 120 140 192 212 228 252 254 324 332	20067496522
SPT(14)	454851691013745409	0 10 24 90 108 238 244 258 264 394 412 478 492 502	23538573282
SPT(14)	454851692843370773	0 14 26 38 60 84 90 164 170 194 216 228 240 254	25368198646
SPT(14)	454851731393316781	0 6 10 28 42 46 52 66 72 76 90 108 112 118	63918144654
SPT(16)	454851736194852611	0 6 20 60 68 90 96 98 108 110 116 138 146 186 200 206	68719680484