Prime p₀= 186773116036687627 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 34 26 58 2 18 22 18 2 58 26 34 6 (?)
a_n: 0 6 40 66 124 126 144 166 184 186 244 270 304 310
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: 310
Found by: desktop64
db: batch=69, k=14, 6 34 26 58 2 18 22

SPT(14)	186773069948123977	0 22 36 52 66 84 90 136 142 160 174 190 204 226	-46088563650
SPT(14)	186773072824972507	0 16 66 112 124 154 156 220 222 252 264 310 360 376	-43211715120
SPT(14)	186773074292704919	0 8 38 60 158 224 248 270 294 360 458 480 510 518	-41743982708
SPT(14)	186773078001793853	0 26 56 66 84 96 140 150 194 206 224 234 264 290	-38034893774
SPT(14)	186773097401168429	0 8 68 140 144 158 180 182 204 218 222 294 354 362	-18635519198
SPT(14)	186773101211083001	0 26 38 80 110 180 228 278 326 396 426 468 480 506	-14825604626
TPT(12)	186773129808902291	0 2 18 20 156 158 180 182 228 230 270 272	13772214664
SPT(14)	186773135560708141	0 18 46 76 82 96 112 186 202 216 222 252 280 298	19524020514
SPT(14)	186773151149504351	0 12 20 38 56 60 78 80 98 102 120 138 146 158	35112816724
SPT(14)	186773172779441971	0 10 30 48 88 90 100 228 238 240 280 298 318 328	56742754344
TPT(12)	186773182314660677	0 2 114 116 162 164 180 182 204 206 360 362	66277973050