Prime p₀= 1049217428142105161 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: stoneageman
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1049216368153628329	0 12 28 40 42 54 58 64 78 84 88 100 102 114 130 142	-1059988476832
STPT(10)	1049216448752598197	0 2 30 32 42 44 54 56 84 86	-979389506964
SPT(16)	1049216472321418393	0 4 6 18 24 48 70 88 156 174 196 220 226 238 240 244	-955820686768
SPT(16)	1049216557660438019	0 54 68 74 90 114 140 144 194 198 224 248 264 270 284 338	-870481667142
STPT(10)	1049216651198572469	0 2 18 20 30 32 42 44 60 62	-776943532692
STPT(10)	1049217095241887459	0 2 18 20 30 32 42 44 60 62	-332900217702
SPT(16)	1049217487343125981	0 40 46 52 60 72 126 156 196 226 280 292 300 306 312 352	59201020820
TPT(14)	1049217550206960479	0 2 72 74 78 80 102 104 120 122 228 230 252 254	122064855318
SPT(16)	1049217565309648409	0 20 38 48 104 110 120 134 138 152 162 168 224 234 252 272	137167543248
SPT(16)	1049217681939443867	0 6 36 50 54 110 116 120 200 204 210 266 270 284 314 320	253797338706
SPT(16)	1049217742171345567	0 16 30 36 72 100 112 126 190 204 216 244 280 286 300 316	314029240406