Prime p₀= 2138978824575853331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 88 2 28 2 34 2 10 2 (?)
a_n: 0 2 78 80 120 122 210 212 240 242 276 278 288 290
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: CoolAtchOk
db: batch=80, k=14, 76 40 88 28 34 10

SPT(16)	2138977475449455929	0 8 30 44 54 158 228 302 330 404 474 578 588 602 624 632	-1349126397402
STPT(10)	2138977554391341479	0 2 12 14 30 32 48 50 60 62	-1270184511852
SPT(16)	2138977591746278317	0 24 90 124 126 172 180 196 240 256 264 310 312 346 412 436	-1232829575014
STPT(10)	2138977768385496089	0 2 18 20 30 32 42 44 60 62	-1056190357242
STPT(10)	2138978084014327481	0 2 30 32 78 80 126 128 156 158	-740561525850
TPT(14)	2138978659623202751	0 2 6 8 30 32 48 50 126 128 180 182 390 392	-164952650580
SPT(16)	2138978882315225089	0 58 184 198 214 252 360 384 388 412 520 558 574 588 714 772	57739371758
STPT(12)	2138979665423863259	0 2 18 20 30 32 60 62 72 74 90 92	840848009928
SPT(16)	2138979844472911369	0 42 124 138 160 202 208 234 238 264 270 312 334 348 430 472	1019897058038
STPT(10)	2138980550824308677	0 2 12 14 132 134 252 254 264 266	1726248455346
SPT(16)	2138980593678072857	0 6 12 102 104 144 150 216 290 356 362 402 404 494 500 506	1769102219526