Prime p₀= 12176823082227691 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 28 18 14 6 72 60 40 60 72 6 14 18 28 (?)
a_n: 0 28 46 60 66 138 198 238 298 370 376 390 408 436
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: 436
Found by: crashtech
db: batch=62, k=14, 28 18 14 6 72 60 40

SPT(14)	12176800834225567	0 4 64 72 112 114 154 180 220 222 262 270 330 334	-22248002124
SPT(14)	12176805191080303	0 54 76 90 156 168 184 270 286 298 364 378 400 454	-17891147388
SPT(14)	12176806055182913	0 14 26 44 48 86 96 218 228 266 270 288 300 314	-17027044778
SPT(16)	12176812926336697	0 34 42 60 90 132 136 162 184 210 214 256 286 304 312 346	-10155890994
SPT(14)	12176813778025817	0 30 44 60 74 84 90 110 116 126 140 156 170 200	-9304201874
SPT(14)	12176819514028163	0 8 38 60 114 128 134 150 156 170 224 246 276 284	-3568199528
SPT(20)	12176831366345773	0 18 36 40 46 78 88 130 144 150 184 190 204 246 256 288 294 298 316 334	8284118082
SPT(14)	12176834444366411	0 18 50 56 78 80 122 156 198 200 222 228 260 278	11362138720
TPT(12)	12176834461700339	0 2 12 14 30 32 168 170 198 200 378 380	11379472648
SPT(14)	12176839879310651	0 12 18 32 96 102 140 168 206 212 276 290 296 308	16797082960
SPT(14)	12176842338024571	0 12 60 88 96 120 126 142 148 172 180 208 256 268	19255796880