Prime p₀= 2730215547172770659 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)	2730214626637576579	0 22 72 102 172 190 204 222 232 250 264 282 352 382 432 454	-920535194080
STPT(10)	2730214786963277459	0 2 18 20 30 32 42 44 60 62	-760209493200
TPT(14)	2730214855889277539	0 2 168 170 360 362 378 380 408 410 432 434 462 464	-691283493120
STPT(10)	2730214985497289711	0 2 36 38 78 80 120 122 156 158	-561675480948
SPT(16)	2730215132130766829	0 24 38 50 72 120 162 164 168 170 212 260 282 294 308 332	-415042003830
TPT(14)	2730215463591853649	0 2 18 20 42 44 60 62 150 152 192 194 222 224	-83580917010
SPT(16)	2730216183348633017	0 2 36 44 56 104 120 146 150 176 192 240 252 260 294 296	636175862358
STPT(10)	2730216304211451611	0 2 6 8 48 50 90 92 96 98	757038680952
SPT(20)	2730216517918317301	0 18 40 42 48 60 102 112 118 142 156 180 186 196 238 250 256 258 280 298	970745546642
SPT(16)	2730216760276290731	0 56 62 68 78 92 180 182 216 218 306 320 330 336 342 398	1213103520072
SPT(16)	2730217115968014707	0 12 20 80 110 116 150 206 210 266 300 306 336 396 404 416	1568795244048