Prime p₀= 2566029906355598777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 10 2 28 2 4 2 58 2 (?)
a_n: 0 2 24 26 42 44 54 56 84 86 90 92 150 152
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: 152
Found by: RFGuy_KCCO
db: batch=82, k=14, 22 16 10 28 4 58

SPT(16)	2566028016085309001	0 120 128 150 162 168 210 212 246 248 290 296 308 330 338 458	-1890270289776
STPT(10)	2566028096358359999	0 2 42 44 60 62 78 80 120 122	-1809997238778
SPT(16)	2566028594773407091	0 12 30 40 58 72 108 126 142 160 196 210 228 238 256 268	-1311582191686
STPT(10)	2566028983840594577	0 2 30 32 42 44 54 56 84 86	-922515004200
STPT(10)	2566029807669146237	0 2 12 14 42 44 72 74 84 86	-98686452540
SPT(16)	2566029840989405149	0 10 42 108 130 168 190 192 238 240 262 300 322 388 420 430	-65366193628
SPT(16)	2566029929910587039	0 18 42 78 84 92 180 198 224 242 330 338 344 380 404 422	23554988262
STPT(10)	2566030004788132679	0 2 18 20 30 32 42 44 60 62	98432533902
SPT(16)	2566030772425364333	0 8 20 74 84 110 134 144 224 234 258 284 294 348 360 368	866069765556
SPT(16)	2566031303961539363	0 6 8 56 78 104 108 204 290 386 390 416 438 486 488 494	1397605940586
SPT(16)	2566031823689872333	0 4 34 46 60 66 76 78 136 138 148 154 168 180 210 214	1917334273556