Prime p₀= 1910558080603819781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 40 2 58 2 136 2 10 2 (?)
a_n: 0 2 30 32 36 38 78 80 138 140 276 278 288 290
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: 290
Found by: Landjunge
db: batch=80, k=14, 28 4 40 58 136 10

SPT(16)	1910557327657173317	0 30 114 134 152 156 192 204 212 224 260 264 282 302 386 416	-752946646464
TPT(14)	1910557597230087191	0 2 36 38 78 80 156 158 330 332 390 392 408 410	-483373732590
STPT(10)	1910557614330936617	0 2 12 14 72 74 132 134 144 146	-466272883164
SPT(16)	1910557709383096099	0 18 40 100 112 160 172 184 198 210 222 270 282 342 364 382	-371220723682
SPT(16)	1910557851479771149	0 84 90 118 120 154 220 244 264 288 354 388 390 418 424 508	-229124048632
STPT(10)	1910558017162082537	0 2 12 14 42 44 72 74 84 86	-63441737244
STPT(10)	1910558513090210741	0 2 6 8 18 20 30 32 36 38	432486390960
STPT(10)	1910558518427482739	0 2 12 14 30 32 48 50 60 62	437823662958
SPT(16)	1910558755578917999	0 24 32 44 80 122 162 164 168 170 210 252 288 300 308 332	674975098218
STPT(10)	1910558943553826141	0 2 36 38 78 80 120 122 156 158	862950006360
SPT(16)	1910559351514009169	0 2 18 42 74 78 80 108 134 162 164 168 200 224 240 242	1270910189388