Prime p₀= 279588947060425021 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 10 30 20 28 24 26 22 26 24 28 20 30 10 (?)
a_n: 0 10 40 60 88 112 138 160 186 210 238 258 288 298
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: 298
Found by: desktop64
db: batch=69, k=14, 10 30 20 28 24 26 22

SPT(14)	279588850989969503	0 6 26 48 56 86 104 120 138 168 176 198 218 224	-96070455518
SPT(14)	279588864698633573	0 20 24 48 108 128 140 198 210 230 290 314 318 338	-82361791448
SPT(14)	279588874215232303	0 24 28 30 46 54 66 88 100 108 124 126 130 154	-72845192718
SPT(14)	279588919663245403	0 18 40 54 70 84 100 138 154 168 184 198 220 238	-27397179618
SPT(14)	279588921442822679	0 2 20 78 102 120 132 200 212 230 254 312 330 332	-25617602342
SPT(14)	279588922185123743	0 8 26 30 36 38 44 90 96 98 104 108 126 134	-24875301278
SPT(14)	279588967446027607	0 12 36 70 82 124 154 222 252 294 306 340 364 376	20385602586
TPT(12)	279588969783351209	0 2 18 20 78 80 120 122 198 200 252 254	22722926188
SPT(14)	279588977281551137	0 2 30 32 54 56 72 74 90 92 114 116 144 146	30221126116
TPT(14)	279588977281551137	0 2 30 32 54 56 72 74 90 92 114 116 144 146	30221126116
STPT(14)	279588977281551137	0 2 30 32 54 56 72 74 90 92 114 116 144 146	30221126116