Prime p₀= 747474661354950869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 10 2 64 2 130 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 138 140 270 272 300 302
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: 302
Found by: crashtech
db: batch=73, k=14, 28 28 10 64 130 28

TPT(14)	747473794566795869	0 2 18 20 138 140 150 152 198 200 210 212 222 224	-866788155000
STPT(10)	747473884549355141	0 2 6 8 48 50 90 92 96 98	-776805595728
SPT(16)	747473888073260939	0 12 42 44 50 104 110 140 162 192 198 252 258 260 290 302	-773281689930
SPT(16)	747473963799945227	0 6 24 26 80 140 146 164 216 234 240 300 354 356 374 380	-697555005642
SPT(16)	747473970030452081	0 2 26 36 42 152 158 162 176 180 186 296 302 312 336 338	-691324498788
SPT(16)	747474610445857939	0 30 64 82 100 130 138 142 150 154 162 192 210 228 262 292	-50909092930
TPT(14)	747474692306544947	0 2 24 26 54 56 84 86 120 122 162 164 174 176	30951594078
SPT(16)	747475056166008811	0 40 42 58 82 90 112 120 160 168 190 198 222 238 240 280	394811057942
SPT(16)	747475193398999201	0 36 42 66 78 112 126 178 210 262 276 310 322 346 352 388	532044048332
STPT(10)	747475201017806927	0 2 30 32 42 44 54 56 84 86	539662856058
STPT(10)	747475548491834189	0 2 18 20 30 32 42 44 60 62	887136883320