Prime p₀= 1478277148505212439 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 28 2 10 2 10 2 76 2 10 2 (?)
a_n: 0 2 138 140 168 170 180 182 192 194 270 272 282 284
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: 284
Found by: Skivelitis2
db: batch=78, k=14, 136 28 10 10 76 10

SPT(16)	1478276230672681837	0 34 46 60 82 102 124 126 130 132 154 174 196 210 222 256	-917832530602
STPT(10)	1478276325526191977	0 2 30 32 60 62 90 92 120 122	-822979020462
SPT(16)	1478276568300672557	0 2 14 32 50 54 62 110 204 252 260 264 282 300 312 314	-580204539882
STPT(10)	1478276654259731267	0 2 30 32 42 44 54 56 84 86	-494245481172
SPT(16)	1478276688626071459	0 10 12 52 114 138 142 154 168 180 184 208 270 310 312 322	-459879140980
SPT(18)	1478276770444297531	0 42 100 136 156 162 168 178 192 196 210 220 226 232 252 288 346 388	-378060914908
SPT(16)	1478277223662318221	0 2 8 30 32 60 98 128 162 192 230 258 260 282 288 290	75157105782
SPT(16)	1478277360395105947	0 4 76 94 96 102 120 124 132 136 154 160 162 180 252 256	211889893508
SPT(16)	1478277387993408979	0 12 30 42 54 60 78 88 114 124 142 148 160 172 190 202	239488196540
STPT(10)	1478277478741939817	0 2 30 32 42 44 54 56 84 86	330236727378
STPT(10)	1478277617049618347	0 2 30 32 42 44 54 56 84 86	468544405908