Prime p₀= 2832732371009361869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 124 2 52 2 28 2 58 2 (?)
a_n: 0 2 12 14 42 44 168 170 222 224 252 254 312 314
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: 314
Found by: [SG-FC] hl
db: batch=82, k=14, 10 28 124 52 28 58

SPT(16)	2832730483267912219	0 42 102 108 142 160 168 174 238 244 252 270 304 310 370 412	-1887741449650
STPT(10)	2832731197267114901	0 2 6 8 18 20 30 32 36 38	-1173742246968
STPT(10)	2832731857129289411	0 2 6 8 18 20 30 32 36 38	-513880072458
SPT(16)	2832731864129604287	0 26 32 36 54 144 156 170 186 200 212 302 320 324 330 356	-506879757582
SPT(16)	2832731884491990379	0 12 40 72 100 108 118 142 150 174 184 192 220 252 280 292	-486517371490
SPT(16)	2832732249089082071	0 6 8 30 78 86 90 92 96 98 102 110 158 180 182 188	-121920279798
STPT(10)	2832732411615128717	0 2 90 92 102 104 114 116 204 206	40605766848
SPT(16)	2832733290128150411	0 2 8 30 78 168 182 198 260 276 290 380 428 450 456 458	919118788542
TPT(14)	2832733436302314749	0 2 12 14 162 164 240 242 348 350 402 404 450 452	1065292952880
STPT(10)	2832734089511223179	0 2 42 44 60 62 78 80 120 122	1718501861310
SPT(16)	2832734510263686233	0 14 18 36 90 116 150 174 260 284 318 344 398 416 420 434	2139254324364