Prime p₀= 234569119186879853 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 50 34 6 14 34 50 22 50 34 14 6 34 50 (?)
a_n: 0 50 84 90 104 138 188 210 260 294 308 314 348 398
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: 398
Found by: Megacruncher
db: batch=69, k=14, 50 34 6 14 34 50 22

SPT(14)	234569032793506483	0 18 94 118 144 150 154 174 178 184 210 234 310 328	-86393373370
SPT(14)	234569045294133787	0 6 94 100 142 184 234 262 312 354 396 402 490 496	-73892746066
SPT(14)	234569045652631727	0 20 42 116 122 140 174 242 276 294 300 374 396 416	-73534248126
SPT(14)	234569056627511401	0 6 28 60 76 78 96 160 178 180 196 228 250 256	-62559368452
STPT(10)	234569078459060699	0 2 12 14 90 92 168 170 180 182	-40727819154
SPT(14)	234569095309649003	0 26 30 50 54 56 66 128 138 140 144 164 168 194	-23877230850
SPT(14)	234569119658872181	0 2 8 42 72 98 140 198 240 266 296 330 336 338	471992328
TPT(12)	234569126936194121	0 2 78 80 120 122 156 158 168 170 240 242	7749314268
SPT(14)	234569132030520389	0 18 20 44 144 194 212 240 258 308 408 432 434 452	12843640536
SPT(14)	234569139327400949	0 78 80 92 128 134 164 288 318 324 360 372 374 452	20140521096
SPT(14)	234569143658472211	0 12 58 72 78 88 96 112 120 130 136 150 196 208	24471592358