Prime p₀= 1907670440554391549 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 178 2 10 2 124 2 28 2 70 2 40 2 (?)
a_n: 0 2 180 182 192 194 318 320 348 350 420 422 462 464
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: 464
Found by: Landjunge
db: batch=80, k=14, 178 10 124 28 70 40

SPT(16)	1907668345614474811	0 36 42 112 120 142 232 238 300 306 396 418 426 496 502 538	-2094939916738
STPT(10)	1907668623373477817	0 2 30 32 72 74 114 116 144 146	-1817180913732
SPT(16)	1907668785549618151	0 46 106 190 196 198 238 240 256 258 298 300 306 390 450 496	-1655004773398
SPT(16)	1907668866593864873	0 36 50 56 90 98 104 108 116 120 126 134 168 174 188 224	-1573960526676
STPT(10)	1907669337317459621	0 2 6 8 48 50 90 92 96 98	-1103236931928
SPT(16)	1907670319351377143	0 30 90 104 170 176 180 210 224 254 258 264 330 344 404 434	-121203014406
SPT(16)	1907670535589494733	0 14 68 80 126 128 150 168 236 254 276 278 324 336 390 404	95035103184
STPT(10)	1907670601528016621	0 2 6 8 18 20 30 32 36 38	160973625072
SPT(16)	1907670791979212401	0 36 42 82 88 102 130 166 192 228 256 270 276 316 322 358	351424820852
STPT(12)	1907670963654553607	0 2 12 14 24 26 30 32 42 44 54 56	523100162058
STPT(10)	1907671474269693677	0 2 30 32 42 44 54 56 84 86	1033715302128