Prime p₀= 741008738640500357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Theadalus
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	741006867950667343	0 4 6 28 36 54 76 120 124 168 190 208 216 238 240 244	-1870689833014
STPT(12)	741006902006944217	0 2 12 14 54 56 150 152 192 194 204 206	-1836633556140
TPT(14)	741007369722151529	0 2 30 32 60 62 72 74 90 92 270 272 348 350	-1368918348828
STPT(10)	741007470553324361	0 2 30 32 78 80 126 128 156 158	-1268087175996
STPT(10)	741008587105369769	0 2 18 20 30 32 42 44 60 62	-151535130588
SPT(16)	741008693079075671	0 12 42 48 60 90 96 98 150 152 158 188 200 206 236 248	-45561424686
SPT(16)	741008932605775549	0 22 42 52 94 112 118 150 172 204 210 228 270 280 300 322	193965275192
TPT(14)	741009053153793869	0 2 12 14 90 92 102 104 168 170 198 200 252 254	314513293512
STPT(10)	741009463940514029	0 2 48 50 60 62 72 74 120 122	725300013672
SPT(18)	741009781545267593	0 6 30 38 56 90 140 146 170 204 228 234 284 318 336 344 368 374	1042904767236
SPT(16)	741009971927834381	0 2 50 66 68 80 92 122 126 156 168 180 182 198 246 248	1233287334024