Prime p₀= 2735815861538683127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2735814728916257701	0 42 58 70 118 138 286 300 328 342 490 510 558 570 586 628	-1132622425426
STPT(10)	2735814790147274201	0 2 36 38 78 80 120 122 156 158	-1071391408926
SPT(16)	2735815074435370987	0 16 22 24 34 36 52 112 114 174 190 192 202 204 210 226	-787103312140
STPT(10)	2735815427222926547	0 2 30 32 72 74 114 116 144 146	-434315756580
SPT(16)	2735815697304453943	0 4 36 54 58 70 76 88 156 168 174 186 190 208 240 244	-164234229184
STPT(10)	2735815752561280391	0 2 36 38 78 80 120 122 156 158	-108977402736
TPT(14)	2735816402432410571	0 2 30 32 66 68 96 98 138 140 180 182 240 242	540893727444
STPT(10)	2735816743938161069	0 2 18 20 30 32 42 44 60 62	882399477942
STPT(12)	2735816797909895627	0 2 30 32 54 56 90 92 114 116 144 146	936371212500
SPT(16)	2735817156252623453	0 26 36 44 114 128 140 150 194 204 216 230 300 308 318 344	1294713940326
SPT(16)	2735817212422754021	0 2 42 60 102 128 150 168 242 260 282 308 350 368 408 410	1350884070894