Prime p₀= 11544494420377249 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 34 44 6 6 4 20 40 20 4 6 6 44 34 (?)
a_n: 0 34 78 84 90 94 114 154 174 178 184 190 234 268
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: 268
Found by: emoga
db: batch=62, k=14, 34 44 6 6 4 20 40

SPT(14)	11544474022330267	0 22 42 76 90 120 132 154 166 196 210 244 264 286	-20398046982
SPT(14)	11544480694693799	0 24 30 54 68 80 84 98 102 114 128 152 158 182	-13725683450
TPT(12)	11544483458878631	0 2 6 8 18 20 48 50 60 62 126 128	-10961498618
SPT(14)	11544484009794419	0 8 12 38 48 54 80 162 188 194 204 230 234 242	-10410582830
SPT(16)	11544484078002829	0 22 28 48 78 84 88 100 132 144 148 154 184 204 210 232	-10342374420
SPT(14)	11544488585017391	0 6 20 38 42 48 56 72 80 86 90 108 122 128	-5835359858
SPT(14)	11544500415815041	0 6 28 70 72 82 100 108 126 136 138 180 202 208	5995437792
TPT(12)	11544506597733827	0 2 54 56 84 86 132 134 144 146 222 224	12177356578
SPT(14)	11544513612068797	0 22 34 42 54 64 96 100 132 142 154 162 174 196	19191691548
SPT(14)	11544516069275653	0 88 100 106 114 120 136 168 184 190 198 204 216 304	21648898404
SPT(16)	11544521918305657	0 22 42 52 112 130 136 150 166 180 186 204 264 274 294 316	27497928408