Prime p₀= 747531967772131181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 70 2 10 2 4 2 22 2 4 2 (?)
a_n: 0 2 6 8 78 80 90 92 96 98 120 122 126 128
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: 128
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 4 70 10 4 22 4

TPT(14)	747530606344631117	0 2 30 32 84 86 114 116 180 182 192 194 222 224	-1361427500064
STPT(10)	747530772605150291	0 2 6 8 18 20 30 32 36 38	-1195166980890
SPT(16)	747530835648823901	0 12 36 42 78 96 126 146 162 182 212 230 266 272 296 308	-1132123307280
SPT(16)	747531409614896561	0 2 12 26 30 50 92 102 110 120 162 182 186 200 210 212	-558157234620
STPT(10)	747531678259681319	0 2 42 44 90 92 138 140 180 182	-289512449862
SPT(16)	747531721168372027	0 30 40 46 72 76 82 112 114 144 150 154 180 186 196 226	-246603759154
STPT(10)	747532155119133731	0 2 6 8 48 50 90 92 96 98	187347002550
STPT(10)	747532159851172877	0 2 30 32 42 44 54 56 84 86	192079041696
STPT(10)	747532238612490167	0 2 42 44 72 74 102 104 144 146	270840358986
SPT(16)	747532367013937279	0 12 22 54 112 120 132 144 190 202 214 222 280 312 322 334	399241806098
SPT(16)	747532526215849321	0 6 16 82 96 100 142 168 250 276 318 322 336 402 412 418	558443718140