Prime p₀= 588770796747619243 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 6 56 4 48 12 44 12 48 4 56 6 4 (?)
a_n: 0 4 10 66 70 118 130 174 186 234 238 294 300 304
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: 304
Found by: Dr Who Fan
db: batch=71, k=14, 4 6 56 4 48 12 44

SPT(14)	588770737495176407	0 42 44 90 132 150 222 224 296 314 356 402 404 446	-59252442836
TPT(12)	588770743687199999	0 2 30 32 72 74 120 122 198 200 312 314	-53060419244
SPT(14)	588770745674065567	0 22 40 90 120 126 142 144 160 166 196 246 264 286	-51073553676
TPT(12)	588770749736893481	0 2 156 158 246 248 396 398 420 422 426 428	-47010725762
SPT(14)	588770756550490439	0 8 80 120 150 224 228 230 234 308 338 378 450 458	-40197128804
SPT(14)	588770786721698753	0 20 78 98 104 138 146 168 176 210 216 236 294 314	-10025920490
SPT(14)	588770835226560619	0 22 78 84 94 100 112 150 162 168 178 184 240 262	38478941376
SPT(14)	588770878219639831	0 42 58 100 126 150 156 172 178 202 228 270 286 328	81472020588
SPT(14)	588770913628925201	0 20 30 42 56 96 170 252 326 366 380 392 402 422	116881305958
SPT(14)	588770918410213559	0 12 54 60 72 80 102 122 144 152 164 170 212 224	121662594316
SPT(14)	588770921100474631	0 12 30 36 60 78 96 102 120 138 162 168 186 198	124352855388