Prime p₀= 1424762580464698751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 16 2 22 2 58 2 46 2 16 2 (?)
a_n: 0 2 108 110 126 128 150 152 210 212 258 260 276 278
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: 278
Found by: arkiss
db: batch=78, k=14, 106 16 22 58 46 16

SPT(16)	1424761190868136211	0 2 18 30 132 146 168 192 206 230 252 266 368 380 396 398	-1389596562540
STPT(10)	1424761313464400927	0 2 30 32 120 122 210 212 240 242	-1267000297824
SPT(16)	1424761618988491033	0 4 54 70 108 130 138 160 264 286 294 316 354 370 420 424	-961476207718
STPT(10)	1424761910584172231	0 2 36 38 78 80 120 122 156 158	-669880526520
TPT(14)	1424761958678148029	0 2 42 44 60 62 90 92 102 104 120 122 162 164	-621786550722
SPT(16)	1424762273486680913	0 30 36 56 68 140 156 200 246 290 306 378 390 410 416 446	-306978017838
SPT(16)	1424762715617379197	0 2 20 104 114 122 126 132 164 170 174 182 192 276 294 296	135152680446
SPT(16)	1424762907017526721	0 12 28 30 60 100 102 142 168 208 210 250 280 282 298 310	326552827970
TPT(14)	1424763334566918011	0 2 30 32 66 68 78 80 96 98 210 212 240 242	754102219260
SPT(16)	1424763521438999449	0 24 28 64 94 100 120 130 168 178 198 204 234 270 274 298	940974300698
SPT(16)	1424763658174918681	0 42 46 70 88 112 120 126 142 148 156 180 198 222 226 268	1077710219930