Prime p₀= 1070223880804421009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 28 2 16 2 22 2 28 2 (?)
a_n: 0 2 18 20 30 32 60 62 78 80 102 104 132 134
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: 134
Found by: Skivelitis2
db: batch=76, k=14, 16 10 28 16 22 28

STPT(10)	1070222589439167257	0 2 30 32 60 62 90 92 120 122	-1291365253752
SPT(16)	1070222784451743347	0 12 50 60 66 90 152 162 164 174 236 260 266 276 314 326	-1096352677662
SPT(16)	1070222880065495747	0 6 42 66 90 96 140 156 206 222 266 272 296 320 356 362	-1000738925262
SPT(16)	1070222955985683397	0 22 30 36 102 132 156 162 280 286 310 340 406 412 420 442	-924818737612
SPT(16)	1070223552524825107	0 12 34 40 84 100 126 156 160 190 216 232 276 282 304 316	-328279595902
SPT(16)	1070223808774699433	0 24 38 50 54 56 60 84 110 134 138 140 144 156 170 194	-72029721576
STPT(10)	1070224086599368331	0 2 36 38 78 80 120 122 156 158	205794947322
SPT(16)	1070224087727380457	0 36 42 44 56 86 110 120 146 156 180 210 222 224 230 266	206922959448
SPT(16)	1070224131470153269	0 10 52 64 102 114 148 190 192 234 268 280 318 330 372 382	250665732260
SPT(16)	1070224572395369537	0 2 60 80 84 102 110 122 132 144 152 170 174 194 252 254	691590948528
STPT(10)	1070224701198576359	0 2 18 20 60 62 102 104 120 122	820394155350