Prime p₀= 2112001399882211639 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 40 2 76 2 16 2 22 2 (?)
a_n: 0 2 42 44 60 62 102 104 180 182 198 200 222 224
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: 224
Found by: Landjunge
db: batch=80, k=14, 40 16 40 76 16 22

SPT(16)	2111999984249361599	0 2 12 68 110 120 138 180 182 224 242 252 294 350 360 362	-1415632850040
STPT(10)	2112000066903912011	0 2 30 32 78 80 126 128 156 158	-1332978299628
SPT(16)	2112000094694319677	0 14 42 80 122 126 150 156 170 176 200 204 246 284 312 326	-1305187891962
TPT(14)	2112000628679828321	0 2 30 32 66 68 78 80 120 122 138 140 156 158	-771202383318
SPT(16)	2112000744671878871	0 62 122 156 180 188 230 240 308 318 360 368 392 426 486 548	-655210332768
STPT(10)	2112001372937517119	0 2 42 44 60 62 78 80 120 122	-26944694520
SPT(16)	2112001752625653407	0 2 32 36 126 134 204 212 234 242 312 320 410 414 444 446	352743441768
SPT(16)	2112001795208634943	0 28 48 54 66 70 84 96 208 220 234 238 250 256 276 304	395326423304
STPT(10)	2112002110590835427	0 2 30 32 42 44 54 56 84 86	710708623788
SPT(16)	2112002157092305523	0 36 50 104 110 114 134 170 180 216 236 240 246 300 314 350	757210093884
SPT(16)	2112002586604606411	0 18 30 58 60 66 78 106 150 178 190 196 198 226 238 256	1186722394772