Prime p₀= 2291138590989302099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 16 2 58 2 10 2 40 2 (?)
a_n: 0 2 12 14 90 92 108 110 168 170 180 182 222 224
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: 224
Found by: Orange Kid
db: batch=81, k=14, 10 76 16 58 10 40

SPT(16)	2291137035024588209	0 18 30 32 50 128 132 140 162 170 174 252 270 272 284 302	-1555964713890
SPT(16)	2291138000764230307	0 4 22 42 60 82 96 106 120 130 144 166 184 204 222 226	-590225071792
SPT(16)	2291138393762505787	0 12 24 36 42 90 96 120 166 190 196 244 250 262 274 286	-197226796312
TPT(14)	2291138399764738499	0 2 42 44 48 50 108 110 120 122 132 134 180 182	-191224563600
SPT(16)	2291138513289920353	0 34 70 76 100 120 174 180 184 190 244 264 288 294 330 364	-77699381746
SPT(16)	2291138588480026141	0 16 30 106 132 150 180 202 240 262 292 310 336 412 426 442	-2509275958
SPT(16)	2291139075729783809	0 14 32 60 74 80 92 102 140 150 162 168 182 210 228 242	484740481710
SPT(16)	2291139217884010489	0 42 48 84 100 118 232 234 238 240 354 372 388 424 430 472	626894708390
SPT(18)	2291139267184922779	0 22 48 70 84 88 118 130 160 162 192 204 234 238 252 274 300 322	676195620680
STPT(10)	2291139335566845089	0 2 18 20 30 32 42 44 60 62	744577542990
TPT(14)	2291139527501838701	0 2 18 20 78 80 156 158 228 230 240 242 270 272	936512536602