Prime p₀= 11282379027251929 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 22 26 12 18 72 4 164 4 72 18 12 26 22 (?)
a_n: 0 22 48 60 78 150 154 318 322 394 412 424 450 472
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: 472
Found by: Dario666
db: batch=62, k=14, 22 26 12 18 72 4 164

SPT(14)	11282347942492499	0 12 14 20 32 90 120 122 152 210 222 228 230 242	-31084759430
SPT(14)	11282357379692999	0 8 14 108 132 162 222 230 290 320 344 438 444 452	-21647558930
SPT(14)	11282370415821061	0 22 30 42 60 72 88 102 118 130 148 160 168 190	-8611430868
SPT(14)	11282370795154279	0 34 60 88 94 112 130 192 210 228 234 262 288 322	-8232097650
SPT(16)	11282374237032683	0 14 30 68 114 126 134 140 264 270 278 290 336 374 390 404	-4790219246
SPT(14)	11282374922962051	0 6 10 30 76 102 130 198 226 252 298 318 322 328	-4104289878
SPT(14)	11282386550949937	0 12 22 40 42 54 64 90 100 112 114 132 142 154	7523698008
SPT(14)	11282395050312031	0 16 42 76 130 132 136 192 196 198 252 286 312 328	16023060102
SPT(14)	11282399199317881	0 6 40 42 48 60 88 90 118 130 136 138 172 178	20172065952
SPT(14)	11282402683023529	0 40 70 72 78 82 88 204 210 214 220 222 252 292	23655771600
SPT(16)	11282418700626343	0 6 28 36 46 58 90 114 160 184 216 228 238 246 268 274	39673374414