Prime p₀= 68657138764425709 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 24 12 48 6 6 24 6 6 48 12 24 18 (?)
a_n: 0 18 42 54 102 108 114 138 144 150 198 210 234 252
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: 252
Found by: emoga
db: batch=67, k=14, 18 24 12 48 6 6 24

SPT(14)	68657060089546273	0 16 28 36 66 70 78 148 156 160 190 198 210 226	-78674879436
SPT(14)	68657072481546893	0 14 38 80 84 116 126 158 168 200 204 246 270 284	-66282878816
SPT(14)	68657088397281647	0 86 120 134 176 180 186 194 200 204 246 260 294 380	-50367144062
SPT(16)	68657105292686177	0 12 36 44 72 86 102 114 122 134 150 164 192 200 224 236	-33471739532
SPT(14)	68657118331101127	0 10 22 60 66 102 114 142 154 190 196 234 246 256	-20433324582
STPT(10)	68657118348994631	0 2 30 32 78 80 126 128 156 158	-20415431078
SPT(14)	68657150224266491	0 2 12 26 42 60 72 110 122 140 156 170 180 182	11459840782
SPT(14)	68657151582864697	0 12 42 46 156 172 196 270 294 310 420 424 454 466	12818438988
SPT(14)	68657152058952319	0 4 10 22 24 52 64 90 102 130 132 144 150 154	13294526610
TPT(12)	68657157857287169	0 2 18 20 30 32 78 80 102 104 240 242	19092861460
SPT(14)	68657157919960523	0 6 30 56 68 104 114 170 180 216 228 254 278 284	19155534814