Prime p₀= 2296489137136834331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 46 2 160 2 148 2 40 2 16 2 (?)
a_n: 0 2 18 20 66 68 228 230 378 380 420 422 438 440
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: 440
Found by: Orange Kid
db: batch=81, k=14, 16 46 160 148 40 16

SPT(16)	2296488135590962073	0 24 38 48 56 66 78 90 134 146 158 168 176 186 200 224	-1001545872258
SPT(16)	2296488216926373563	0 8 44 66 80 104 168 174 290 296 360 384 398 420 456 464	-920210460768
SPT(16)	2296488573770316641	0 8 20 30 42 60 62 92 126 156 158 176 188 198 210 218	-563366517690
STPT(10)	2296488725540896067	0 2 24 26 42 44 60 62 84 86	-411595938264
STPT(10)	2296488843620563307	0 2 42 44 72 74 102 104 144 146	-293516271024
STPT(10)	2296488891444402167	0 2 60 62 102 104 144 146 204 206	-245692432164
STPT(10)	2296489599059272217	0 2 30 32 42 44 54 56 84 86	461922437886
STPT(10)	2296489958940001841	0 2 30 32 78 80 126 128 156 158	821803167510
TPT(14)	2296491571345655867	0 2 30 32 72 74 120 122 210 212 240 242 372 374	2434208821536
SPT(16)	2296491827333621719	0 18 142 168 208 244 270 280 312 322 348 384 424 450 574 592	2690196787388
SPT(16)	2296491946762910317	0 4 16 66 100 130 136 154 186 204 210 240 274 324 336 340	2809626075986