Prime p₀= 2003659450639286351 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Dingo
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2003658125948307061	0 6 10 22 36 52 90 102 136 148 186 202 216 228 232 238	-1324690979290
SPT(16)	2003658145578669721	0 12 18 42 60 70 78 82 186 190 198 208 226 250 256 268	-1305060616630
STPT(10)	2003658477690806537	0 2 42 44 72 74 102 104 144 146	-972948479814
STPT(10)	2003658979948577849	0 2 18 20 30 32 42 44 60 62	-470690708502
SPT(16)	2003659035450762259	0 22 40 42 58 72 142 160 162 180 250 264 280 282 300 322	-415188524092
STPT(12)	2003659150951640969	0 2 12 14 42 44 48 50 78 80 90 92	-299687645382
STPT(10)	2003659584645014111	0 2 6 8 48 50 90 92 96 98	134005727760
STPT(10)	2003659849754281919	0 2 12 14 90 92 168 170 180 182	399114995568
SPT(16)	2003660036496592919	0 2 14 84 98 120 134 180 212 258 272 294 308 378 390 392	585857306568
TPT(14)	2003660374095586691	0 2 6 8 78 80 156 158 198 200 240 242 246 248	923456300340
SPT(16)	2003660444975428531	0 42 96 106 132 162 172 180 238 246 256 286 312 322 376 418	994336142180