Prime p₀= 2928982240020753611 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 118 2 28 2 22 2 34 2 40 2 (?)
a_n: 0 2 36 38 156 158 186 188 210 212 246 248 288 290
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=82, k=14, 34 118 28 22 34 40

SPT(16)	2928980754293683073	0 14 50 80 90 134 144 150 200 206 216 260 270 300 336 350	-1485727070538
SPT(16)	2928980881854905513	0 18 30 60 74 98 114 140 198 224 240 264 278 308 320 338	-1358165848098
SPT(16)	2928980886919776859	0 4 24 30 88 108 118 130 132 144 154 174 232 238 258 262	-1353100976752
SPT(16)	2928981550586544389	0 2 54 72 84 114 150 192 200 242 278 308 320 338 390 392	-689434209222
STPT(10)	2928981692839376261	0 2 6 8 48 50 90 92 96 98	-547181377350
STPT(10)	2928981965061681797	0 2 30 32 72 74 114 116 144 146	-274959071814
STPT(10)	2928982728499467551	0 2 6 8 18 20 30 32 36 38	488478713940
STPT(10)	2928983029326049601	0 2 6 8 48 50 90 92 96 98	789305295990
SPT(16)	2928983119190662453	0 66 84 100 124 156 190 210 220 240 274 306 330 346 364 430	879169908842
SPT(16)	2928983857565555189	0 30 114 140 182 210 212 234 350 372 374 402 444 470 554 584	1617544801578
SPT(16)	2928984093721081499	0 12 68 74 102 104 110 120 122 132 138 140 168 174 230 242	1853700327888