Prime p₀= 68657179937194873 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 36 22 8 10 92 22 56 22 92 10 8 22 36 (?)
a_n: 0 36 58 66 76 168 190 246 268 360 370 378 400 436
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: 436
Found by: emoga
db: batch=67, k=14, 36 22 8 10 92 22 56

SPT(14)	68657152058952319	0 4 10 22 24 52 64 90 102 130 132 144 150 154	-27878242554
TPT(12)	68657157857287169	0 2 18 20 30 32 78 80 102 104 240 242	-22079907704
SPT(14)	68657157919960523	0 6 30 56 68 104 114 170 180 216 228 254 278 284	-22017234350
SPT(14)	68657161053171247	0 60 72 82 96 130 142 144 156 190 204 214 226 286	-18884023626
TPT(12)	68657168163150557	0 2 72 74 84 86 102 104 144 146 174 176	-11774044316
TPT(12)	68657169845877071	0 2 6 8 60 62 156 158 180 182 186 188	-10091317802
SPT(14)	68657183774685217	0 4 22 40 60 76 82 84 90 106 126 144 162 166	3837490344
SPT(14)	68657190904526921	0 26 30 42 48 72 90 98 116 140 146 158 162 188	10967332048
SPT(14)	68657200322530249	0 42 78 82 108 132 160 210 238 262 288 292 328 370	20385335376
SPT(14)	68657208926446871	0 8 26 42 56 68 78 110 120 132 146 162 180 188	28989251998
SPT(14)	68657215548867521	0 2 6 50 66 80 92 156 168 182 198 242 246 248	35611672648