Prime p₀= 2424278898718499861 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 10 2 136 2 16 2 28 2 10 2 (?)
a_n: 0 2 108 110 120 122 258 260 276 278 306 308 318 320
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: 320
Found by: JayPi
db: batch=82, k=14, 106 10 136 16 28 10

SPT(16)	2424277152184112179	0 28 70 94 168 190 208 234 238 264 282 304 378 402 444 472	-1746534387682
SPT(16)	2424277525148086589	0 62 72 78 102 114 122 150 182 210 218 230 254 260 270 332	-1373570413272
SPT(16)	2424277695960791597	0 12 14 24 62 80 134 150 164 180 234 252 290 300 302 314	-1202757708264
TPT(14)	2424278006162901641	0 2 18 20 96 98 186 188 198 200 210 212 240 242	-892555598220
STPT(10)	2424278587636036499	0 2 18 20 30 32 42 44 60 62	-311082463362
STPT(10)	2424278674079276321	0 2 108 110 168 170 228 230 336 338	-224639223540
STPT(10)	2424278951935537691	0 2 36 38 78 80 120 122 156 158	53217037830
SPT(16)	2424279145789244033	0 14 20 66 96 104 120 206 234 320 336 344 374 420 426 440	247070744172
SPT(16)	2424279313255026599	0 54 74 92 128 150 212 228 344 360 422 444 480 498 518 572	414536526738
SPT(16)	2424279683847863111	0 8 18 26 50 96 110 116 180 186 200 246 270 278 288 296	785129363250
SPT(16)	2424279877278355519	0 12 22 40 54 64 82 90 142 150 168 178 192 210 220 232	978559855658