Prime p₀= 3016109427120146321 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 34 2 88 2 28 2 10 2 (?)
a_n: 0 2 18 20 30 32 66 68 156 158 186 188 198 200
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: 200
Found by: raddoc
db: batch=82, k=14, 16 10 34 88 28 10

TPT(14)	3016108679538110207	0 2 102 104 120 122 210 212 240 242 330 332 342 344	-747582036114
SPT(16)	3016108694780027411	0 26 42 48 60 80 90 102 146 158 168 188 200 206 222 248	-732340118910
STPT(10)	3016108724391188549	0 2 12 14 30 32 48 50 60 62	-702728957772
SPT(16)	3016109004446805857	0 2 14 56 62 74 90 102 104 116 132 144 150 192 204 206	-422673340464
STPT(10)	3016109049595171487	0 2 42 44 72 74 102 104 144 146	-377524974834
SPT(16)	3016109138361041309	0 30 38 90 110 174 222 264 308 350 398 462 482 534 542 572	-288759105012
SPT(16)	3016109647156289137	0 24 34 54 70 76 90 100 126 136 150 156 172 192 202 226	220036142816
STPT(10)	3016109776842409601	0 2 6 8 48 50 90 92 96 98	349722263280
SPT(16)	3016109839819774219	0 34 64 90 130 148 172 174 238 240 264 282 322 348 378 412	412699627898
STPT(10)	3016109950261073999	0 2 48 50 90 92 132 134 180 182	523140927678
STPT(10)	3016110063660535481	0 2 6 8 48 50 90 92 96 98	636540389160