Prime p₀= 1117932109710517331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 28 2 22 2 16 2 28 2 10 2 (?)
a_n: 0 2 126 128 156 158 180 182 198 200 228 230 240 242
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: 242
Found by: Theadalus
db: batch=76, k=14, 124 28 22 16 28 10

SPT(16)	1117930565231955583	0 10 36 58 64 78 114 124 150 160 196 210 216 238 264 274	-1544478561748
STPT(10)	1117930919736226439	0 2 18 20 30 32 42 44 60 62	-1189974290892
STPT(10)	1117931122994608127	0 2 30 32 102 104 174 176 204 206	-986715909204
STPT(10)	1117931226046970507	0 2 42 44 72 74 102 104 144 146	-883663546824
STPT(10)	1117931306185581047	0 2 30 32 42 44 54 56 84 86	-803524936284
SPT(16)	1117931431253922377	0 60 66 126 144 156 170 200 360 390 404 416 434 494 500 560	-678456594954
STPT(10)	1117932112724530469	0 2 42 44 60 62 78 80 120 122	3014013138
STPT(10)	1117932185131059581	0 2 6 8 48 50 90 92 96 98	75420542250
SPT(16)	1117932304463271799	0 10 52 118 222 234 250 292 300 342 358 370 474 540 582 592	194752754468
TPT(14)	1117932481153404767	0 2 12 14 42 44 90 92 102 104 144 146 180 182	371442887436
STPT(10)	1117932518197347701	0 2 30 32 60 62 90 92 120 122	408486830370