Prime p₀= 2746300166355597779 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 100 2 46 2 40 2 28 2 16 2 (?)
a_n: 0 2 30 32 132 134 180 182 222 224 252 254 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 28 100 46 40 28 16

TPT(14)	2746299031698565529	0 2 132 134 138 140 270 272 300 302 378 380 420 422	-1134657032250
STPT(10)	2746299205493706617	0 2 42 44 72 74 102 104 144 146	-960861891162
STPT(10)	2746299502608836561	0 2 30 32 78 80 126 128 156 158	-663746761218
SPT(16)	2746299661594866269	0 48 50 60 62 90 92 110 120 138 140 168 170 180 182 230	-504760731510
STPT(10)	2746299850323674969	0 2 42 44 60 62 78 80 120 122	-316031922810
SPT(16)	2746299920632126693	0 16 24 58 66 106 108 196 198 286 288 328 336 370 378 394	-245723471086
SPT(16)	2746300201877614321	0 36 60 66 78 118 136 156 190 210 228 268 280 286 310 346	35522016542
STPT(12)	2746300679059698119	0 2 30 32 60 62 72 74 102 104 132 134	512704100340
SPT(16)	2746301018827699873	0 30 70 108 114 124 138 150 184 196 210 220 226 264 304 334	852472102094
SPT(16)	2746301344783718971	0 6 30 36 112 130 132 156 172 196 198 216 292 298 322 328	1178428121192
SPT(16)	2746301507310564773	0 6 30 36 38 48 50 56 120 126 128 138 140 146 170 176	1340954966994