Prime p₀= 2258953120171215509 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2258952168388948379	0 2 42 44 90 92 138 140 180 182	-951782267130
TPT(14)	2258952217811250107	0 2 12 14 54 56 84 86 144 146 234 236 282 284	-902359965402
SPT(16)	2258952437515870013	0 30 38 60 114 120 164 176 228 240 284 290 344 366 374 404	-682655345496
SPT(16)	2258952482120483011	0 10 16 36 42 48 58 76 102 120 130 136 142 162 168 178	-638050732498
STPT(10)	2258952586970477537	0 2 12 14 42 44 72 74 84 86	-533200737972
SPT(16)	2258952885564482291	0 32 38 48 62 66 108 116 132 140 182 186 200 210 216 248	-234606733218
SPT(16)	2258953427641870187	0 30 44 54 72 96 116 126 200 210 230 254 272 282 296 326	307470654678
STPT(10)	2258954162883006857	0 2 30 32 72 74 114 116 144 146	1042711791348
SPT(16)	2258954496105881543	0 8 30 48 110 126 140 254 270 384 398 414 476 494 516 524	1375934666034
SPT(16)	2258954611389952757	0 32 42 54 56 72 114 116 150 152 194 210 212 224 234 266	1491218737248
SPT(16)	2258954709049860779	0 72 80 84 110 114 138 170 222 254 278 282 308 312 320 392	1588878645270