Prime p₀= 3011928017442611429 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 76 2 16 2 232 2 4 2 (?)
a_n: 0 2 30 32 42 44 120 122 138 140 372 374 378 380
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: 380
Found by: [SG-FC] hl
db: batch=82, k=14, 28 10 76 16 232 4

SPT(16)	3011926198712157577	0 12 36 42 60 102 112 130 156 174 184 226 244 250 274 286	-1818730453852
SPT(16)	3011926772516839511	0 26 36 68 78 96 110 138 140 168 182 200 210 242 252 278	-1244925771918
SPT(16)	3011926814870410981	0 42 46 70 78 82 90 120 178 208 216 220 228 252 256 298	-1202572200448
SPT(16)	3011926940129704297	0 10 16 42 112 154 264 276 280 292 402 444 514 540 546 556	-1077312907132
STPT(10)	3011926979739062459	0 2 42 44 90 92 138 140 180 182	-1037703548970
STPT(10)	3011927484562032479	0 2 42 44 60 62 78 80 120 122	-532880578950
STPT(10)	3011928028374833387	0 2 30 32 42 44 54 56 84 86	10932221958
STPT(10)	3011928226048823969	0 2 18 20 30 32 42 44 60 62	208606212540
STPT(10)	3011928263829781067	0 2 30 32 72 74 114 116 144 146	246387169638
STPT(10)	3011928582149855747	0 2 30 32 42 44 54 56 84 86	564707244318
SPT(16)	3011928601318548521	0 18 26 36 78 102 110 126 212 228 236 260 302 312 320 338	583875937092