Prime p₀= 2161390812698461997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 16 2 40 2 28 2 10 2 (?)
a_n: 0 2 42 44 72 74 90 92 132 134 162 164 174 176
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: 176
Found by: Landjunge
db: batch=81, k=14, 40 28 16 40 28 10

SPT(16)	2161390038633800291	0 48 78 80 186 188 206 228 230 252 270 272 378 380 410 458	-774064661706
SPT(16)	2161390372207891733	0 6 18 38 60 116 126 140 174 188 198 254 276 296 308 314	-440490570264
SPT(16)	2161390418995020491	0 6 12 18 62 80 168 182 186 200 288 306 350 356 362 368	-393703441506
STPT(10)	2161390453036100357	0 2 30 32 42 44 54 56 84 86	-359662361640
STPT(10)	2161390756721454371	0 2 36 38 78 80 120 122 156 158	-55977007626
STPT(10)	2161390786863257861	0 2 6 8 18 20 30 32 36 38	-25835204136
STPT(10)	2161390944261930149	0 2 18 20 30 32 42 44 60 62	131563468152
SPT(16)	2161391528206941839	0 12 20 32 102 120 158 162 200 204 242 260 330 342 350 362	715508479842
STPT(10)	2161391729653100699	0 2 18 20 30 32 42 44 60 62	916954638702
SPT(16)	2161391794718548081	0 28 30 70 100 130 132 160 180 208 210 240 270 310 312 340	982020086084
STPT(10)	2161392160096224611	0 2 6 8 48 50 90 92 96 98	1347397762614