Prime p₀= 1074006967475876111 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 76 2 10 2 76 2 10 2 10 2 (?)
a_n: 0 2 18 20 96 98 108 110 186 188 198 200 210 212
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: 212
Found by: Theadalus
db: batch=76, k=14, 16 76 10 76 10 10

SPT(16)	1074005854796155507	0 70 76 136 154 172 174 186 220 232 234 252 270 330 336 406	-1112679720604
STPT(12)	1074005876162469317	0 2 42 44 84 86 90 92 132 134 174 176	-1091313406794
STPT(10)	1074006037566169619	0 2 18 20 30 32 42 44 60 62	-929909706492
SPT(16)	1074006051464055233	0 24 84 90 110 146 150 194 210 254 258 294 314 320 380 404	-916011820878
SPT(16)	1074006561387955379	0 20 32 48 90 98 114 122 150 158 174 182 224 240 252 272	-406087920732
SPT(16)	1074006690189638057	0 2 26 62 110 114 116 146 150 180 182 186 234 270 294 296	-277286238054
TPT(14)	1074007420451183549	0 2 60 62 102 104 210 212 270 272 282 284 372 374	452975307438
SPT(16)	1074007431096886243	0 40 88 114 156 210 270 276 298 304 364 418 460 486 534 574	463621010132
TPT(14)	1074007563339611609	0 2 60 62 78 80 102 104 120 122 168 170 198 200	595863735498
STPT(10)	1074007604233879517	0 2 42 44 72 74 102 104 144 146	636758003406
SPT(16)	1074007680413459377	0 4 36 144 186 192 210 214 252 256 274 280 322 430 462 466	712937583266