Prime p₀= 2083018024518882329 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 58 2 124 2 22 2 16 2 (?)
a_n: 0 2 60 62 72 74 132 134 258 260 282 284 300 302
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: 302
Found by: Landjunge
db: batch=80, k=14, 58 10 58 124 22 16

STPT(10)	2083016874605819531	0 2 36 38 78 80 120 122 156 158	-1149913062798
SPT(16)	2083016892361813169	0 14 20 24 42 98 102 104 108 110 114 170 188 192 198 212	-1132157069160
TPT(14)	2083017443949457661	0 2 18 20 90 92 156 158 228 230 258 260 270 272	-580569424668
SPT(16)	2083017718192431593	0 6 14 18 44 68 104 140 144 180 216 240 266 270 278 284	-306326450736
STPT(10)	2083017836418241271	0 2 6 8 48 50 90 92 96 98	-188100641058
STPT(10)	2083017985872946931	0 2 6 8 48 50 90 92 96 98	-38645935398
STPT(10)	2083018207574740517	0 2 12 14 72 74 132 134 144 146	183055858188
TPT(14)	2083018316395527701	0 2 66 68 108 110 156 158 168 170 210 212 240 242	291876645372
STPT(10)	2083018537837662749	0 2 18 20 30 32 42 44 60 62	513318780420
SPT(16)	2083018559874152651	0 2 20 38 56 62 72 80 108 116 126 132 150 168 186 188	535355270322
SPT(16)	2083018624541636053	0 76 174 184 214 216 228 250 384 406 418 420 450 460 558 634	600022753724