Prime p₀= 278900607366833897 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 42 12 2 48 6 22 2 22 6 48 2 12 42 (?)
a_n: 0 42 54 56 104 110 132 134 156 162 210 212 224 266
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: 266
Found by: Ralfy
db: batch=69, k=14, 42 12 2 48 6 22 2

SPT(14)	278900538479097061	0 46 48 66 76 130 160 168 198 252 262 280 282 328	-68887736836
SPT(14)	278900552551136003	0 20 24 38 50 78 90 134 146 174 186 200 204 224	-54815697894
STPT(10)	278900554700142671	0 2 6 8 18 20 30 32 36 38	-52666691226
TPT(12)	278900564495150327	0 2 72 74 90 92 270 272 300 302 354 356	-42871683570
TPT(12)	278900571823705079	0 2 78 80 132 134 138 140 150 152 180 182	-35543128818
STPT(10)	278900592466219049	0 2 18 20 30 32 42 44 60 62	-14900614848
SPT(14)	278900613948805097	0 2 32 56 86 110 120 152 162 186 216 240 270 272	6581971200
SPT(14)	278900649168371611	0 10 36 42 76 90 112 120 142 156 190 196 222 232	41801537714
SPT(14)	278900666631065389	0 58 60 78 88 114 172 180 238 264 274 292 294 352	59264231492
SPT(14)	278900672205490211	0 2 8 32 42 92 120 128 156 206 216 240 246 248	64838656314
SPT(16)	278900685383865967	0 4 30 94 114 186 196 204 226 234 244 316 336 400 426 430	78017032070