Prime p₀= 2830243036545230609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 40 2 34 2 10 2 28 2 (?)
a_n: 0 2 30 32 120 122 162 164 198 200 210 212 240 242
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: Landjunge
db: batch=82, k=14, 28 88 40 34 10 28

STPT(10)	2830241524530945527	0 2 30 32 60 62 90 92 120 122	-1512014285082
STPT(10)	2830241852375954699	0 2 42 44 90 92 138 140 180 182	-1184169275910
STPT(10)	2830242017525570699	0 2 18 20 30 32 42 44 60 62	-1019019659910
SPT(16)	2830242107387970181	0 12 22 30 36 58 60 112 156 208 210 232 238 246 256 268	-929157260428
SPT(16)	2830242208022006837	0 2 80 86 96 156 174 182 204 212 230 290 300 306 384 386	-828523223772
SPT(16)	2830242577763646037	0 6 16 66 70 72 76 102 124 150 154 156 160 210 220 226	-458781584572
SPT(16)	2830243051175347429	0 18 24 52 172 178 208 222 250 264 294 300 420 448 454 472	14630116820
SPT(16)	2830243076257147931	0 8 20 32 42 48 50 90 158 198 200 206 216 228 240 248	39711917322
STPT(10)	2830243139109410639	0 2 18 20 30 32 42 44 60 62	102564180030
STPT(10)	2830243537713016697	0 2 24 26 42 44 60 62 84 86	501167786088
STPT(10)	2830243725269919767	0 2 12 14 72 74 132 134 144 146	688724689158