Prime p₀= 1958486754343253549 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 76 2 118 2 28 2 16 2 (?)
a_n: 0 2 30 32 42 44 120 122 240 242 270 272 288 290
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=80, k=14, 28 10 76 118 28 16

SPT(16)	1958485172772562073	0 8 38 54 68 78 84 90 98 104 110 120 134 150 180 188	-1581570691476
STPT(10)	1958485201549497317	0 2 54 56 72 74 90 92 144 146	-1552793756232
SPT(16)	1958485209995737243	0 18 88 90 130 150 214 216 238 240 304 324 364 366 436 454	-1544347516306
TPT(14)	1958486287888988981	0 2 30 32 48 50 138 140 168 170 198 200 210 212	-466454264568
TPT(14)	1958486301878645261	0 2 30 32 60 62 126 128 216 218 228 230 240 242	-452464608288
SPT(16)	1958486753606753131	0 6 28 48 66 90 108 142 186 220 238 262 280 300 322 328	-736500418
STPT(10)	1958486992103056157	0 2 12 14 42 44 72 74 84 86	237759802608
STPT(10)	1958487081740596481	0 2 6 8 48 50 90 92 96 98	327397342932
SPT(16)	1958487163669385413	0 28 54 58 64 88 96 186 208 298 306 330 336 340 366 394	409326131864
SPT(16)	1958487377502379777	0 16 72 76 82 106 114 124 162 172 180 204 210 214 270 286	623159126228
SPT(16)	1958487755464633423	0 34 46 66 70 144 150 154 210 214 220 294 298 318 330 364	1001121379874