Prime p₀= 1587721100132210777 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: emoga
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1587719073639741527	0 14 44 50 56 62 66 84 122 140 144 150 156 162 192 206	-2026492469250
STPT(10)	1587719761872336119	0 2 18 20 30 32 42 44 60 62	-1338259874658
SPT(16)	1587720096371932547	0 14 62 90 96 122 164 176 180 192 234 260 266 294 342 356	-1003760278230
SPT(16)	1587720412649617403	0 44 84 86 146 198 288 318 356 386 476 528 588 590 630 674	-687482593374
SPT(16)	1587720419637512063	0 8 26 36 38 50 66 96 98 128 144 156 158 168 186 194	-680494698714
SPT(16)	1587720465253156933	0 4 10 18 28 66 70 76 108 114 118 156 166 174 180 184	-634879053844
STPT(10)	1587721565015737139	0 2 18 20 30 32 42 44 60 62	464883526362
SPT(16)	1587721565990494247	0 80 84 110 134 144 174 186 224 236 266 276 300 326 330 410	465858283470
SPT(16)	1587722051883310093	0 4 18 70 78 88 148 178 210 240 300 310 318 370 384 388	951751099316
STPT(10)	1587722618041113017	0 2 60 62 102 104 144 146 204 206	1517908902240
STPT(10)	1587722929807641167	0 2 30 32 72 74 114 116 144 146	1829675430390