Prime p₀= 94321020318365579 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 48 20 4 18 38 6 4 6 38 18 4 20 48 (?)
a_n: 0 48 68 72 90 128 134 138 144 182 200 204 224 272
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: 272
Found by: [SG-2W]Kurzer
db: batch=67, k=14, 48 20 4 18 38 6 4

SPT(14)	94320967741657561	0 42 60 78 88 130 142 156 168 210 220 238 256 298	-52576708018
TPT(12)	94320990193279481	0 2 30 32 36 38 156 158 228 230 258 260	-30125086098
SPT(14)	94320990779749057	0 22 76 102 130 142 154 162 174 186 214 240 294 316	-29538616522
SPT(14)	94321004133606167	0 14 24 32 42 60 84 110 134 152 162 170 180 194	-16184759412
SPT(14)	94321006574874479	0 38 122 140 152 158 162 200 204 210 222 240 324 362	-13743491100
SPT(14)	94321010883198257	0 2 6 12 26 30 56 60 86 90 104 110 114 116	-9435167322
SPT(16)	94321027846312457	0 36 42 50 56 60 92 102 224 234 266 270 276 284 290 326	7527946878
TPT(12)	94321028631438599	0 2 12 14 48 50 90 92 102 104 132 134	8313073020
SPT(14)	94321031488795123	0 64 84 90 96 124 154 180 210 238 244 250 270 334	11170429544
SPT(14)	94321034151153779	0 8 14 32 50 98 102 110 114 162 180 198 204 212	13832788200
SPT(14)	94321053794720899	0 24 28 48 70 90 100 102 112 132 154 174 178 202	33476355320