Prime p₀= 400344579980739077 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 74 6 4 20 12 4 26 4 12 20 4 6 74 (?)
a_n: 0 74 80 84 104 116 120 146 150 162 182 186 192 266
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: 266
Found by: Cruncher Pete
db: batch=70, k=14, 74 6 4 20 12 4 26

TPT(12)	400344471916769531	0 2 48 50 180 182 186 188 216 218 270 272	-108063969546
SPT(18)	400344497012800033	0 18 24 36 70 94 106 130 154 180 204 228 240 264 298 310 316 334	-82967939044
SPT(14)	400344511056868571	0 6 8 48 78 86 90 98 102 110 140 180 182 188	-68923870506
SPT(14)	400344525692810539	0 54 64 70 100 144 172 180 208 252 282 288 298 352	-54287928538
SPT(14)	400344525893602361	0 2 86 126 152 156 162 200 206 210 236 276 360 362	-54087136716
SPT(16)	400344542755177519	0 4 28 90 130 144 154 168 220 234 244 258 298 360 384 388	-37225561558
SPT(14)	400344580746075541	0 42 46 118 120 162 192 196 226 268 270 342 346 388	765336464
SPT(14)	400344593262897611	0 30 56 66 98 128 150 158 180 210 242 252 278 308	13282158534
SPT(14)	400344641286093527	0 50 60 90 126 140 156 176 192 206 242 272 282 332	61305354450
STPT(10)	400344653253358547	0 2 24 26 42 44 60 62 84 86	73272619470
SPT(14)	400344664345342807	0 10 12 16 52 54 72 94 112 114 150 154 156 166	84364603730