Prime p₀= 3000203350532375171 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: JonS
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	3000202293600491347	0 12 46 60 112 132 174 186 190 202 244 264 316 330 364 376	-1056931883824
STPT(10)	3000202994313977939	0 2 12 14 90 92 168 170 180 182	-356218397232
SPT(16)	3000203046127457773	0 10 16 78 114 120 136 150 184 198 214 220 256 318 324 334	-304404917398
SPT(16)	3000203121939239369	0 14 18 24 30 74 108 150 158 200 234 278 284 290 294 308	-228593135802
SPT(16)	3000203165237745583	0 18 36 46 54 70 88 90 154 156 174 190 198 208 226 244	-185294629588
SPT(16)	3000203297658947273	0 14 20 36 56 66 84 90 110 116 134 144 164 180 186 200	-52873427898
SPT(16)	3000203591911516283	0 38 54 68 80 98 104 116 138 150 156 174 186 200 216 254	241379141112
STPT(10)	3000204708606798521	0 2 6 8 48 50 90 92 96 98	1358074423350
STPT(10)	3000205337890121057	0 2 12 14 72 74 132 134 144 146	1987357745886
STPT(10)	3000205580172450899	0 2 18 20 30 32 42 44 60 62	2229640075728
SPT(16)	3000205604165349059	0 8 18 54 60 68 78 98 240 260 270 278 284 320 330 338	2253632973888