Prime p₀= 1012043261354172527 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: HenkM
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1012041972108559813	0 18 36 64 88 94 108 120 154 166 180 186 210 238 256 274	-1289245612714
SPT(16)	1012042019179026211	0 12 18 60 82 120 166 168 190 192 238 276 298 340 346 358	-1242175146316
SPT(16)	1012042111515126437	0 6 20 74 84 104 126 152 204 230 252 272 282 336 350 356	-1149839046090
STPT(10)	1012042154087683931	0 2 36 38 78 80 120 122 156 158	-1107266488596
STPT(10)	1012042357087558997	0 2 30 32 72 74 114 116 144 146	-904266613530
STPT(10)	1012042536013027787	0 2 30 32 72 74 114 116 144 146	-725341144740
STPT(10)	1012043272078148279	0 2 12 14 30 32 48 50 60 62	10723975752
STPT(10)	1012043525917034771	0 2 66 68 138 140 210 212 276 278	264562862244
SPT(18)	1012043527669089373	0 30 64 84 120 148 184 196 220 384 408 420 456 484 520 540 574 604	266314916846
STPT(10)	1012043793033573371	0 2 30 32 78 80 126 128 156 158	531679400844
SPT(16)	1012044311913862379	0 12 20 32 54 104 132 144 260 272 300 350 372 384 392 404	1050559689852