Prime p₀= 491118233449178519 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 8 10 26 16 14 30 40 30 14 16 26 10 8 (?)
a_n: 0 8 18 44 60 74 104 144 174 188 204 230 240 248
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: 248
Found by: modesti
db: batch=70, k=14, 8 10 26 16 14 30 40

TPT(12)	491118194631016079	0 2 30 32 78 80 138 140 150 152 162 164	-38818162440
SPT(14)	491118197779289263	0 18 28 108 130 150 154 204 208 228 250 330 340 358	-35669889256
SPT(16)	491118209986439831	0 6 48 66 68 96 146 180 188 222 272 300 302 320 362 368	-23462738688
SPT(14)	491118212372971061	0 42 50 62 86 138 152 156 170 222 246 258 266 308	-21076207458
SPT(14)	491118214086270707	0 6 32 80 84 126 132 164 170 212 216 264 290 296	-19362907812
SPT(14)	491118232300911623	0 44 56 90 104 114 126 188 200 210 224 258 270 314	-1148266896
SPT(14)	491118256678503119	0 42 68 84 120 134 162 200 228 242 278 294 320 362	23229324600
SPT(14)	491118257649864781	0 10 16 18 46 52 118 150 216 222 250 252 258 268	24200686262
SPT(14)	491118326283627989	0 14 38 50 62 72 104 108 140 150 162 174 198 212	92834449470
SPT(16)	491118334416395353	0 48 78 96 114 118 120 126 148 154 156 160 178 196 226 274	100967216834
SPT(14)	491118339357514151	0 12 48 62 86 90 108 110 128 132 156 170 206 218	105908335632