Prime p₀= 486974977714507157 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 26 24 6 4 12 44 12 4 6 24 26 24 (?)
a_n: 0 24 50 74 80 84 96 140 152 156 162 186 212 236
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: 236
Found by: Vitalii Koshura
db: batch=70, k=14, 24 26 24 6 4 12 44

SPT(14)	486974905919022953	0 38 66 108 126 180 186 308 314 368 386 428 456 494	-71795484204
TPT(12)	486974930982738089	0 2 78 80 108 110 150 152 168 170 180 182	-46731769068
SPT(14)	486974943416131789	0 12 34 40 64 114 142 180 208 258 282 288 310 322	-34298375368
SPT(14)	486974956536089471	0 6 32 72 90 126 140 192 206 242 260 300 326 332	-21178417686
SPT(14)	486974962731613969	0 42 48 70 142 162 204 208 250 270 342 364 370 412	-14982893188
SPT(14)	486974969350524211	0 42 78 102 138 156 162 166 172 190 226 250 286 328	-8363982946
SPT(14)	486974979120543337	0 6 30 34 40 72 90 106 124 156 162 166 190 196	1406036180
SPT(14)	486974985558661939	0 10 42 52 58 108 118 174 184 234 240 250 282 292	7844154782
SPT(14)	486974991106242601	0 48 58 138 180 198 240 250 292 310 352 432 442 490	13391735444
TPT(12)	486975014626934081	0 2 78 80 150 152 306 308 330 332 336 338	36912426924
TPT(12)	486975020285608427	0 2 42 44 72 74 102 104 144 146 180 182	42571101270