Prime p₀= 262502678624929879 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 34 48 50 10 38 18 46 18 38 10 50 48 34 (?)
a_n: 0 34 82 132 142 180 198 244 262 300 310 360 408 442
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: 442
Found by: Paul
db: batch=69, k=14, 34 48 50 10 38 18 46

SPT(14)	262502566184466529	0 4 12 84 124 154 162 172 180 210 250 322 330 334	-112440463350
SPT(14)	262502568085688143	0 16 78 94 100 108 126 148 166 174 180 196 258 274	-110539241736
SPT(14)	262502598598778749	0 24 40 54 58 60 70 138 148 150 154 168 184 208	-80026151130
TPT(12)	262502637668080487	0 2 42 44 54 56 72 74 144 146 150 152	-40956849392
SPT(16)	262502645911688759	0 20 24 38 68 92 104 150 152 198 210 234 264 278 282 302	-32713241120
SPT(14)	262502674583485727	0 6 72 74 80 110 144 152 186 216 222 224 290 296	-4041444152
TPT(12)	262502695375708859	0 2 42 44 78 80 162 164 210 212 222 224	16750778980
TPT(12)	262502709919376471	0 2 30 32 138 140 150 152 156 158 396 398	31294446592
TPT(12)	262502756820384467	0 2 72 74 90 92 204 206 294 296 342 344	78195454588
SPT(14)	262502776047229423	0 6 24 34 96 118 144 160 186 208 270 280 298 304	97422299544
SPT(14)	262502780950665379	0 12 34 82 120 190 192 262 264 334 372 420 442 454	102325735500