Prime p₀= 2819981807315354579 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 28 2 4 2 52 2 28 2 (?)
a_n: 0 2 18 20 42 44 72 74 78 80 132 134 162 164
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: 164
Found by: [SG-FC] hl
db: batch=82, k=14, 16 22 28 4 52 28

STPT(10)	2819981266566675569	0 2 12 14 180 182 348 350 360 362	-540748679010
SPT(16)	2819981322156156689	0 18 38 60 68 72 110 128 252 270 308 312 320 342 362 380	-485159197890
STPT(10)	2819981471824158527	0 2 30 32 72 74 114 116 144 146	-335491196052
SPT(16)	2819981542662912107	0 30 42 54 72 74 104 132 182 210 240 242 260 272 284 314	-264652442472
SPT(16)	2819981760955532177	0 26 86 96 104 110 114 200 210 296 300 306 314 324 384 410	-46359822402
SPT(16)	2819981777148960091	0 22 30 76 96 132 150 178 180 208 226 262 282 328 336 358	-30166394488
STPT(10)	2819982386319544001	0 2 6 8 108 110 210 212 216 218	579004189422
SPT(16)	2819982683038566247	0 4 10 12 16 72 82 94 102 114 124 180 184 186 192 196	875723211668
SPT(16)	2819982706204929319	0 10 22 54 70 82 84 112 132 160 162 174 190 222 234 244	898889574740
STPT(10)	2819982745664232059	0 2 18 20 30 32 42 44 60 62	938348877480
SPT(16)	2819982835368176861	0 36 60 78 206 210 230 236 342 348 368 372 500 518 542 578	1028052822282