Prime p₀= 2112285568748402741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 130 2 10 2 34 2 40 2 (?)
a_n: 0 2 36 38 66 68 198 200 210 212 246 248 288 290
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: 290
Found by: gemini8
db: batch=80, k=14, 34 28 130 10 34 40

STPT(10)	2112283217091558557	0 2 12 14 72 74 132 134 144 146	-2351656844184
STPT(10)	2112283705536477227	0 2 42 44 72 74 102 104 144 146	-1863211925514
SPT(16)	2112284538796305953	0 18 24 74 78 84 204 228 230 254 374 380 384 434 440 458	-1029952096788
SPT(16)	2112284922836448931	0 6 36 48 60 82 88 160 168 240 246 268 280 292 322 328	-645911953810
SPT(16)	2112284979172951489	0 18 30 40 112 114 142 162 190 210 238 240 312 322 334 352	-589575451252
SPT(16)	2112285501342877709	0 24 30 60 90 104 114 128 144 158 168 182 212 242 248 272	-67405525032
STPT(10)	2112286038848115677	0 2 30 32 42 44 54 56 84 86	470099712936
STPT(10)	2112286329646243349	0 2 18 20 30 32 42 44 60 62	760897840608
STPT(10)	2112286474180681217	0 2 12 14 42 44 72 74 84 86	905432278476
SPT(16)	2112287310313203409	0 12 52 100 112 124 130 154 168 192 198 210 222 270 310 322	1741564800668
SPT(16)	2112287859997363799	0 14 18 24 48 50 78 90 92 104 132 134 158 164 168 182	2291248961058