Prime p₀= 2303356316486946839 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2303355232922040461	0 42 120 128 138 152 182 240 260 318 348 362 372 380 458 500	-1083564906378
SPT(16)	2303355376705605269	0 38 54 60 78 104 168 192 260 284 348 374 392 398 414 452	-939781341570
STPT(10)	2303355617566834637	0 2 42 44 72 74 102 104 144 146	-698920112202
STPT(10)	2303355680957357567	0 2 90 92 102 104 114 116 204 206	-635529589272
STPT(10)	2303355741479063639	0 2 18 20 30 32 42 44 60 62	-575007883200
SPT(16)	2303356196723775251	0 18 36 48 56 90 102 122 126 146 158 192 200 212 230 248	-119763171588
SPT(16)	2303356546285291547	0 30 56 84 114 140 164 204 206 246 270 296 326 354 380 410	229798344708
STPT(10)	2303356853481646379	0 2 18 20 30 32 42 44 60 62	536994699540
SPT(16)	2303356961019432973	0 4 48 54 64 84 88 90 118 120 124 144 154 160 204 208	644532486134
STPT(10)	2303357105798933879	0 2 30 32 60 62 90 92 120 122	789311987040
SPT(16)	2303357162178684253	0 10 24 28 36 48 78 168 196 286 316 328 336 340 354 364	845691737414