Prime p₀= 347203537814673487 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 6 60 6 16 38 16 38 16 6 60 6 24 (?)
a_n: 0 24 30 90 96 112 150 166 204 220 226 286 292 316
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: 316
Found by: Cruncher Pete
db: batch=70, k=14, 24 6 60 6 16 38 16

SPT(14)	347203430015981191	0 22 42 48 112 118 156 202 240 246 310 316 336 358	-107798692296
SPT(14)	347203459589505007	0 10 90 126 154 196 220 300 324 366 394 430 510 520	-78225168480
SPT(14)	347203473714710339	0 18 42 48 62 72 90 110 128 138 152 158 182 200	-64099963148
SPT(14)	347203484706323207	0 2 26 32 86 110 144 152 186 210 264 270 294 296	-53108350280
SPT(14)	347203513143216203	0 36 48 60 104 110 140 144 174 180 224 236 248 284	-24671457284
TPT(12)	347203531754715611	0 2 6 8 48 50 120 122 126 128 150 152	-6059957876
SPT(14)	347203567657982309	0 14 24 32 42 54 60 92 98 110 120 128 138 152	29843308822
SPT(14)	347203619157639887	0 12 14 80 84 90 96 140 146 152 156 222 224 236	81342966400
SPT(14)	347203646012216029	0 28 40 58 82 88 112 180 204 210 234 252 264 292	108197542542
SPT(16)	347203650361622741	0 32 56 78 92 108 126 128 150 152 170 186 200 222 246 278	112546949254
TPT(12)	347203657427579987	0 2 60 62 102 104 150 152 234 236 240 242	119612906500