Prime p₀= 3001678105278982901 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 10 2 76 2 58 2 16 2 (?)
a_n: 0 2 48 50 78 80 90 92 168 170 228 230 246 248
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: 248
Found by: [SG-FC] hl
db: batch=82, k=14, 46 28 10 76 58 16

SPT(16)	3001675790681294171	0 48 98 176 188 200 210 236 252 278 288 300 312 390 440 488	-2314597688730
STPT(10)	3001676781019627559	0 2 30 32 60 62 90 92 120 122	-1324259355342
SPT(16)	3001676953390897459	0 30 52 54 60 100 160 168 184 192 252 292 298 300 322 352	-1151888085442
SPT(16)	3001677108679413371	0 8 30 32 48 62 78 102 158 182 198 212 228 230 252 260	-996599569530
STPT(10)	3001677224602579799	0 2 12 14 90 92 168 170 180 182	-880676403102
SPT(16)	3001677446987655353	0 30 38 54 66 68 74 80 114 120 126 128 140 156 164 194	-658291327548
SPT(16)	3001678436427672871	0 6 18 22 30 46 48 70 108 130 132 148 156 160 172 178	331148689970
STPT(10)	3001678670607475751	0 2 6 8 48 50 90 92 96 98	565328492850
SPT(16)	3001678716991627411	0 16 30 60 76 82 90 100 102 112 120 126 142 172 186 202	611712644510
STPT(10)	3001678772266259357	0 2 24 26 42 44 60 62 84 86	666987276456
SPT(16)	3001679166185695439	0 78 162 164 198 234 252 264 278 290 308 344 378 380 464 542	1060906712538