Prime p₀= 1958880340437866927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 130 2 28 2 34 2 52 2 34 2 (?)
a_n: 0 2 12 14 144 146 174 176 210 212 264 266 300 302
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, 10 130 28 34 52 34

SPT(18)	1958878417012107271	0 46 70 106 150 156 220 228 238 270 280 288 352 358 402 438 462 508	-1923425759656
STPT(10)	1958878743164287031	0 2 6 8 48 50 90 92 96 98	-1597273579896
SPT(16)	1958878974537026903	0 6 18 36 158 168 230 260 264 294 356 366 488 506 518 524	-1365900840024
SPT(16)	1958879763798682111	0 10 28 58 60 70 78 102 118 142 150 160 162 192 210 220	-576639184816
STPT(10)	1958879955096483227	0 2 54 56 72 74 90 92 144 146	-385341383700
STPT(10)	1958880315657697667	0 2 42 44 72 74 102 104 144 146	-24780169260
SPT(16)	1958880887012675141	0 50 62 80 90 96 110 168 230 288 302 308 318 336 348 398	546574808214
STPT(10)	1958881845048023057	0 2 30 32 42 44 54 56 84 86	1504610156130
STPT(10)	1958881941648443477	0 2 12 14 42 44 72 74 84 86	1601210576550
SPT(16)	1958882009767961821	0 12 48 82 100 142 222 228 280 286 366 408 426 460 496 508	1669330094894
SPT(16)	1958882085987989213	0 8 20 80 98 108 146 174 200 228 266 276 294 354 366 374	1745550122286