Prime p₀= 1033333230495185999 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 10 2 28 2 16 2 52 2 (?)
a_n: 0 2 30 32 108 110 120 122 150 152 168 170 222 224
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: 224
Found by: Theadalus
db: batch=76, k=14, 28 76 10 28 16 52

SPT(16)	1033331884087766429	0 38 50 84 90 104 110 138 260 288 294 308 314 348 360 398	-1346407419570
TPT(14)	1033332305604133061	0 2 18 20 60 62 216 218 228 230 258 260 288 290	-924891052938
SPT(16)	1033332310788754433	0 8 18 20 48 56 66 78 86 98 108 116 144 146 156 164	-919706431566
SPT(16)	1033332790638194171	0 2 12 32 102 138 140 152 156 168 170 206 276 296 306 308	-439856991828
SPT(16)	1033332987709386599	0 2 60 72 102 132 140 152 288 300 308 338 368 380 438 440	-242785799400
STPT(10)	1033333197483815867	0 2 60 62 72 74 84 86 144 146	-33011370132
SPT(16)	1033333309935384043	0 40 60 66 78 144 160 208 216 264 280 346 358 364 384 424	79440198044
STPT(10)	1033333452325090907	0 2 12 14 72 74 132 134 144 146	221829904908
STPT(10)	1033333645833931859	0 2 18 20 30 32 42 44 60 62	415338745860
SPT(16)	1033333727957020697	0 36 50 60 72 86 110 116 180 186 210 224 236 246 260 296	497461834698
SPT(16)	1033333836193704047	0 14 66 84 122 146 224 230 246 252 330 354 392 410 462 476	605698518048