Prime p₀= 123469045492211357 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 106 2 46 2 10 2 16 2 (?)
a_n: 0 2 12 14 54 56 162 164 210 212 222 224 240 242
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: 242
Found by: paulteo
db: batch=67, k=14, 10 40 106 46 10 16

SPT(14)	123468976949188307	0 6 20 26 56 66 72 164 170 180 210 216 230 236	-68543023050
SPT(14)	123468983407977953	0 96 104 110 120 170 174 176 180 230 240 246 254 350	-62084233404
TPT(12)	123468992681054807	0 2 24 26 42 44 90 92 120 122 180 182	-52811156550
TPT(12)	123468999719966177	0 2 54 56 60 62 90 92 102 104 180 182	-45772245180
SPT(16)	123469009422007967	0 2 26 32 72 86 90 116 126 152 156 170 210 216 240 242	-36070203390
SPT(14)	123469026611256583	0 6 34 46 66 126 136 144 154 214 234 246 274 280	-18880954774
SPT(14)	123469055734763537	0 2 44 54 84 96 122 144 170 182 212 222 264 266	10242552180
SPT(14)	123469072251240299	0 2 24 42 44 48 62 90 104 108 110 128 150 152	26759028942
SPT(14)	123469078537058269	0 10 12 28 72 82 108 112 138 148 192 208 210 220	33044846912
SPT(14)	123469085121797621	0 20 42 56 96 140 156 206 222 266 306 320 342 362	39629586264
TPT(12)	123469116927010859	0 2 30 32 198 200 210 212 252 254 312 314	71434799502