Prime p₀= 450432924397974839 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 68 6 24 42 18 6 64 6 18 42 24 6 68 (?)
a_n: 0 68 74 98 140 158 164 228 234 252 294 318 324 392
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: 392
Found by: desktop64
db: batch=70, k=14, 68 6 24 42 18 6 64

SPT(14)	450432782578672381	0 10 12 48 102 120 132 166 178 196 250 286 288 298	-141819302458
SPT(14)	450432845084439719	0 8 12 14 20 42 54 308 320 342 348 350 354 362	-79313535120
SPT(16)	450432856357525061	0 30 48 80 86 108 122 152 186 216 230 252 258 290 308 338	-68040449778
SPT(14)	450432868547125859	0 2 14 30 68 72 90 92 110 114 152 168 180 182	-55850848980
STPT(10)	450432880275325301	0 2 6 8 48 50 90 92 96 98	-44122649538
TPT(12)	450432898643105867	0 2 24 26 30 32 54 56 60 62 102 104	-25754868972
STPT(10)	450432937738914959	0 2 48 50 90 92 132 134 180 182	13340940120
TPT(12)	450432941514196829	0 2 102 104 198 200 210 212 222 224 270 272	17116221990
TPT(12)	450432964957805579	0 2 72 74 78 80 120 122 162 164 252 254	40559830740
SPT(14)	450433025789054809	0 28 48 90 100 124 138 184 198 222 232 274 294 322	101391079970
SPT(14)	450433032658922639	0 20 44 84 128 138 182 210 254 264 308 348 372 392	108260947800