Prime p₀= 2424029530831386167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 88 2 64 2 40 2 10 2 94 2 (?)
a_n: 0 2 84 86 174 176 240 242 282 284 294 296 390 392
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: 392
Found by: JayPi
db: batch=82, k=14, 82 88 64 40 10 94

SPT(16)	2424027626182193693	0 26 78 84 156 168 216 228 296 308 356 368 440 446 498 524	-1904649192474
STPT(10)	2424028274649145247	0 2 30 32 72 74 114 116 144 146	-1256182240920
SPT(16)	2424028301310215521	0 60 82 102 130 136 138 150 238 250 252 258 286 306 328 388	-1229521170646
SPT(16)	2424028866260575351	0 16 18 40 42 72 82 112 126 156 166 196 198 220 222 238	-664570810816
STPT(10)	2424028888658719841	0 2 36 38 78 80 120 122 156 158	-642172666326
STPT(10)	2424029160898669139	0 2 12 14 30 32 48 50 60 62	-369932717028
TPT(14)	2424029574706873379	0 2 30 32 138 140 162 164 180 182 198 200 252 254	43875487212
SPT(16)	2424029724604014113	0 20 38 54 60 164 186 198 266 278 300 404 410 426 444 464	193772627946
STPT(10)	2424029870824943957	0 2 30 32 120 122 210 212 240 242	339993557790
SPT(16)	2424030245842097279	0 44 62 90 114 150 168 192 230 254 272 308 332 360 378 422	715010711112
STPT(10)	2424030399742200827	0 2 30 32 42 44 54 56 84 86	868910814660