Prime p₀= 2053798685721073229 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 64 2 58 2 148 2 10 2 (?)
a_n: 0 2 12 14 42 44 108 110 168 170 318 320 330 332
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: 332
Found by: Landjunge
db: batch=80, k=14, 10 28 64 58 148 10

SPT(16)	2053797493842883237	0 36 64 72 130 142 172 186 250 264 294 306 364 372 400 436	-1191878189992
SPT(16)	2053797879748536709	0 34 42 64 72 84 100 138 184 222 238 250 258 280 288 322	-805972536520
STPT(10)	2053798345891132829	0 2 18 20 30 32 42 44 60 62	-339829940400
STPT(10)	2053798375045390847	0 2 30 32 42 44 54 56 84 86	-310675682382
TPT(14)	2053798453873287047	0 2 12 14 42 44 192 194 222 224 264 266 444 446	-231847786182
STPT(10)	2053798621411288691	0 2 30 32 60 62 90 92 120 122	-64309784538
SPT(16)	2053798764358188907	0 12 30 52 94 114 120 132 142 154 160 180 222 244 262 274	78637115678
STPT(10)	2053798767603214517	0 2 12 14 42 44 72 74 84 86	81882141288
STPT(10)	2053799287750498817	0 2 12 14 42 44 72 74 84 86	602029425588
STPT(10)	2053799337264503999	0 2 18 20 30 32 42 44 60 62	651543430770
SPT(16)	2053799426694362299	0 12 40 42 52 82 88 120 130 162 168 198 208 210 238 250	740973289070