Prime p₀= 2141033781660142949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 88 2 160 2 46 2 40 2 46 2 (?)
a_n: 0 2 138 140 228 230 390 392 438 440 480 482 528 530
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: 530
Found by: Landjunge
db: batch=80, k=14, 136 88 160 46 40 46

SPT(16)	2141031219060588121	0 10 16 108 150 156 168 192 196 220 232 238 280 372 378 388	-2562599554828
STPT(10)	2141031252595801997	0 2 54 56 132 134 210 212 264 266	-2529064340952
STPT(10)	2141031471362430341	0 2 30 32 60 62 90 92 120 122	-2310297712608
STPT(10)	2141031792856858787	0 2 30 32 42 44 54 56 84 86	-1988803284162
STPT(10)	2141031950206342691	0 2 36 38 78 80 120 122 156 158	-1831453800258
TPT(16)	2141033059302750449	0 2 48 50 102 104 132 134 168 170 222 224 258 260 300 302	-722357392500
SPT(16)	2141033989615174319	0 8 18 30 50 54 92 102 110 120 158 162 182 194 204 212	207955031370
STPT(10)	2141034040329225359	0 2 42 44 90 92 138 140 180 182	258669082410
SPT(16)	2141034051103134613	0 28 34 144 178 220 226 244 360 378 384 426 460 570 576 604	269442991664
SPT(16)	2141034155534080771	0 6 28 46 52 72 90 132 136 178 196 216 222 240 262 268	373873937822
SPT(18)	2141034424499358929	0 14 30 32 50 72 78 104 140 192 228 254 260 282 300 302 318 332	642839215980