Prime p₀= 1056641309508261539 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 34 2 28 2 10 2 16 2 (?)
a_n: 0 2 30 32 72 74 108 110 138 140 150 152 168 170
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: 170
Found by: =Lupus=
db: batch=76, k=14, 28 40 34 28 10 16

SPT(16)	1056640566369490997	0 30 42 60 66 102 114 122 354 362 374 410 416 434 446 476	-743138770542
STPT(10)	1056640629684842117	0 2 24 26 42 44 60 62 84 86	-679823419422
SPT(16)	1056640731852333983	0 26 36 66 134 144 164 186 224 246 266 276 344 374 384 410	-577655927556
SPT(16)	1056640794209487241	0 18 96 102 132 138 160 166 222 228 250 256 286 292 370 388	-515298774298
SPT(16)	1056640846792130053	0 34 46 48 88 90 126 136 168 178 214 216 256 258 270 304	-462716131486
SPT(16)	1056641263917212509	0 22 54 84 100 132 174 204 208 238 280 312 328 358 390 412	-45591049030
SPT(16)	1056641657568095909	0 24 32 50 72 74 90 98 234 242 258 260 282 300 308 332	348059834370
SPT(16)	1056641705603545091	0 18 38 60 66 140 150 158 258 266 276 350 356 378 398 416	396095283552
SPT(16)	1056641943699460819	0 28 42 64 88 94 108 112 180 184 198 204 228 250 264 292	634191199280
TPT(14)	1056642329353965551	0 2 30 32 66 68 168 170 198 200 288 290 306 308	1019845704012
SPT(16)	1056642424176066127	0 10 30 46 96 142 144 162 214 232 234 280 330 346 366 376	1114667804588