Prime p₀= 34010832838278313 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 28 50 76 24 6 20 6 24 76 50 28 6 (?)
a_n: 0 6 34 84 160 184 190 210 216 240 316 366 394 400
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: 400
Found by: davidBAM
db: batch=65, k=14, 6 28 50 76 24 6 20

SPT(14)	34010777225554777	0 22 46 90 114 124 126 160 162 172 196 240 264 286	-55612723536
SPT(14)	34010784822757241	0 2 36 38 50 66 78 80 92 108 120 122 156 158	-48015521072
SPT(16)	34010797903412893	0 10 54 76 78 118 150 220 234 304 336 376 378 400 444 454	-34934865420
SPT(14)	34010811922989757	0 4 10 70 94 120 126 130 136 162 186 246 252 256	-20915288556
SPT(14)	34010814410245801	0 16 18 60 66 88 100 156 168 190 196 238 240 256	-18428032512
SPT(14)	34010820177198269	0 42 62 132 152 168 170 210 212 228 248 318 338 380	-12661080044
SPT(14)	34010835331799399	0 2 50 68 72 90 212 258 380 398 402 420 468 470	2493521086
TPT(12)	34010847068317121	0 2 6 8 30 32 168 170 186 188 246 248	14230038808
SPT(14)	34010847756405181	0 6 22 28 48 58 70 78 90 100 120 126 142 148	14918126868
SPT(16)	34010861481200993	0 30 56 78 104 116 134 140 174 180 198 210 236 258 284 314	28642922680
SPT(14)	34010891200204199	0 8 30 54 120 128 140 222 234 242 308 332 354 362	58361925886