Prime p₀= 1289046474079830881 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 124 2 58 2 10 2 10 2 16 2 (?)
a_n: 0 2 30 32 156 158 216 218 228 230 240 242 258 260
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: 260
Found by: Cruncher Pete
db: batch=77, k=14, 28 124 58 10 10 16

SPT(16)	1289044999794129559	0 4 22 64 112 120 148 168 364 384 412 420 468 510 528 532	-1474285701322
STPT(10)	1289045346205049297	0 2 42 44 72 74 102 104 144 146	-1127874781584
STPT(10)	1289045357494854101	0 2 6 8 18 20 30 32 36 38	-1116584976780
STPT(10)	1289045961258996761	0 2 6 8 18 20 30 32 36 38	-512820834120
STPT(10)	1289046203087616971	0 2 6 8 48 50 90 92 96 98	-270992213910
SPT(16)	1289046212339834191	0 6 28 48 66 96 132 150 178 196 232 262 280 300 322 328	-261739996690
STPT(10)	1289046933591717281	0 2 36 38 78 80 120 122 156 158	459511886400
SPT(16)	1289047683667757459	0 68 80 90 98 138 140 200 252 312 314 354 362 372 384 452	1209587926578
TPT(14)	1289048160414098867	0 2 12 14 24 26 54 56 102 104 180 182 210 212	1686334267986
SPT(16)	1289048743892965963	0 4 46 48 88 108 160 174 190 204 256 276 316 318 360 364	2269813135082
SPT(16)	1289048816186751871	0 10 16 76 102 118 136 142 186 192 210 226 252 312 318 328	2342106920990