Prime p₀= 350058898261211221 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 88 2 6 16 6 68 46 68 6 16 6 2 88 (?)
a_n: 0 88 90 96 112 118 186 232 300 306 322 328 330 418
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: 418
Found by: desktop64
db: batch=70, k=14, 88 2 6 16 6 68 46

STPT(10)	350058855500586899	0 2 42 44 60 62 78 80 120 122	-42760624322
TPT(12)	350058857511095039	0 2 108 110 150 152 168 170 192 194 228 230	-40750116182
SPT(14)	350058860202806269	0 12 58 72 78 142 162 190 210 274 280 294 340 352	-38058404952
SPT(14)	350058866545224839	0 80 92 98 104 134 210 212 288 318 324 330 342 422	-31715986382
TPT(12)	350058869143061129	0 2 102 104 120 122 198 200 210 212 270 272	-29118150092
SPT(14)	350058872477228273	0 24 56 78 84 108 120 134 146 170 176 198 230 254	-25783982948
SPT(14)	350058912656568419	0 12 14 30 44 50 62 72 84 90 104 120 122 134	14395357198
SPT(14)	350058921402478459	0 58 64 78 90 108 114 238 244 262 274 288 294 352	23141267238
SPT(14)	350058921492599857	0 6 24 30 72 76 102 124 150 154 196 202 220 226	23231388636
SPT(14)	350058930868857029	0 8 42 72 84 138 140 222 224 278 290 320 354 362	32607645808
SPT(14)	350058941303437969	0 4 10 28 52 58 84 88 114 120 144 162 168 172	43042226748