Prime p₀= 2751671461480672361 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 40 2 16 2 118 2 58 2 22 2 (?)
a_n: 0 2 96 98 138 140 156 158 276 278 336 338 360 362
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: 362
Found by: [SG-FC] hl
db: batch=82, k=14, 94 40 16 118 58 22

SPT(16)	2751669779701327181	0 56 60 98 156 170 228 270 296 338 396 410 468 506 510 566	-1681779345180
STPT(10)	2751670021461676877	0 2 42 44 72 74 102 104 144 146	-1440018995484
TPT(14)	2751670119779291987	0 2 12 14 84 86 90 92 150 152 174 176 204 206	-1341701380374
STPT(10)	2751670547974281539	0 2 12 14 90 92 168 170 180 182	-913506390822
STPT(10)	2751671100348997367	0 2 30 32 72 74 114 116 144 146	-361131674994
STPT(10)	2751671428282986887	0 2 60 62 72 74 84 86 144 146	-33197685474
STPT(12)	2751671503079206049	0 2 12 14 42 44 138 140 168 170 180 182	41598533688
SPT(16)	2751671661570072379	0 12 22 40 78 112 138 172 228 262 288 322 360 378 388 400	200089400018
TPT(14)	2751671958043590401	0 2 30 32 66 68 78 80 108 110 150 152 198 200	496562918040
SPT(16)	2751672096392183303	0 48 54 56 78 114 176 204 230 258 320 356 378 380 386 434	634911510942
SPT(16)	2751672365023188731	0 36 48 60 92 98 132 146 222 236 270 276 308 320 332 368	903542516370