Prime p₀= 234891500500582033 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 64 2 4 24 26 16 32 16 26 24 4 2 64 (?)
a_n: 0 64 66 70 94 120 136 168 184 210 234 238 240 304
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: 304
Found by: Megacruncher
db: batch=69, k=14, 64 2 4 24 26 16 32

TPT(14)	234891431993776757	0 2 24 26 90 92 234 236 342 344 372 374 390 392	-68506805276
TPT(12)	234891441033809381	0 2 108 110 126 128 150 152 288 290 378 380	-59466772652
SPT(14)	234891444917776709	0 12 20 72 90 102 122 132 152 164 182 234 242 254	-55582805324
SPT(14)	234891447892271021	0 12 42 80 140 146 176 192 222 228 288 326 356 368	-52608311012
SPT(14)	234891460393948361	0 50 56 78 108 138 150 236 248 278 308 330 336 386	-40106633672
SPT(14)	234891472929363559	0 18 58 60 82 112 130 192 210 240 262 264 304 322	-27571218474
TPT(14)	234891511979197781	0 2 30 32 120 122 156 158 240 242 276 278 318 320	11478615748
SPT(14)	234891519221309603	0 50 60 90 104 126 134 156 164 186 200 230 240 290	18720727570
TPT(14)	234891527133472217	0 2 24 26 72 74 150 152 162 164 192 194 222 224	26632890184
SPT(14)	234891529275852193	0 16 24 28 40 54 94 210 250 264 276 280 288 304	28775270160
SPT(14)	234891536621068211	0 8 30 42 68 120 152 156 188 240 266 278 300 308	36120486178