Prime p₀= 303863606600626421 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 12 14 6 24 4 158 4 24 6 14 12 30 (?)
a_n: 0 30 42 56 62 86 90 248 252 276 282 296 308 338
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: 338
Found by: scrap
db: batch=69, k=14, 30 12 14 6 24 4 158

SPT(14)	303863550626812237	0 22 24 34 52 64 76 120 132 144 162 172 174 196	-55973814184
SPT(14)	303863556176962097	0 42 50 54 66 92 96 140 144 170 182 186 194 236	-50423664324
SPT(14)	303863558134687739	0 42 114 152 188 200 210 212 222 234 270 308 380 422	-48465938682
SPT(14)	303863559314740021	0 42 78 90 106 108 142 246 280 282 298 310 346 388	-47285886400
TPT(14)	303863577118902737	0 2 24 26 54 56 72 74 144 146 180 182 222 224	-29481723684
SPT(14)	303863595264382691	0 2 42 90 98 102 126 212 236 240 248 296 336 338	-11336243730
SPT(14)	303863659406107973	0 20 54 74 98 126 146 168 188 216 240 260 294 314	52805481552
SPT(14)	303863661740327341	0 16 48 60 118 120 126 190 196 198 256 268 300 316	55139700920
SPT(14)	303863707400730203	0 56 86 116 188 200 240 284 324 336 408 438 468 524	100800103782
TPT(12)	303863707623399107	0 2 90 92 114 116 240 242 294 296 384 386	101022772686
TPT(12)	303863765590813289	0 2 12 14 30 32 78 80 162 164 198 200	158990186868