Prime p₀= 248720392065030581 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 26 16 8 16 20 4 38 4 20 16 8 16 26 (?)
a_n: 0 26 42 50 66 86 90 128 132 152 168 176 192 218
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: 218
Found by: Ralfy
db: batch=69, k=14, 26 16 8 16 20 4 38

SPT(14)	248720301543407801	0 18 20 56 78 92 108 200 216 230 252 288 290 308	-90521622780
SPT(16)	248720348943393839	0 12 30 80 102 162 168 180 182 194 200 260 282 332 350 362	-43121636742
SPT(16)	248720358262456039	0 10 18 22 42 60 70 78 112 120 130 148 168 172 180 190	-33802574542
TPT(12)	248720370347657147	0 2 30 32 60 62 90 92 162 164 252 254	-21717373434
TPT(12)	248720374056344189	0 2 60 62 72 74 150 152 180 182 240 242	-18008686392
SPT(14)	248720392030474513	0 18 36 48 64 76 88 186 198 210 226 238 256 274	-34556068
SPT(14)	248720416834940851	0 12 78 120 138 180 198 202 220 262 280 322 388 400	24769910270
SPT(14)	248720447468494909	0 10 18 22 24 34 42 70 78 88 90 94 102 112	55403464328
SPT(14)	248720460591634397	0 6 42 62 72 92 114 182 204 224 234 254 290 296	68526603816
SPT(14)	248720474282839931	0 12 26 32 42 66 72 80 86 110 120 126 140 152	82217809350
TPT(12)	248720497905836651	0 2 6 8 78 80 90 92 120 122 168 170	105840806070