Prime p₀= 1052590859581686749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: stoneageman
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1052589397566745889	0 12 14 44 50 60 68 102 110 144 152 162 168 198 200 212	-1462014940860
SPT(16)	1052589457681781501	0 60 102 138 140 182 236 242 306 312 366 408 410 446 488 548	-1401899905248
SPT(16)	1052589531135361853	0 6 36 44 84 96 110 128 186 204 218 230 270 278 308 314	-1328446324896
SPT(16)	1052590065811620257	0 12 54 62 80 84 122 150 164 192 230 234 252 260 302 314	-793770066492
SPT(16)	1052590518058878637	0 10 16 24 40 54 66 72 94 100 112 126 142 150 156 166	-341522808112
STPT(10)	1052590536770703911	0 2 30 32 78 80 126 128 156 158	-322810982838
SPT(16)	1052590874794736623	0 16 24 34 40 78 84 108 166 190 196 234 240 250 258 274	15213049874
STPT(10)	1052590884161321171	0 2 6 8 18 20 30 32 36 38	24579634422
STPT(10)	1052591106875398859	0 2 18 20 30 32 42 44 60 62	247293712110
SPT(13)	1052591171540512363	0 30 84 114 168 198 204 210 240 294 324 378 408	311958825614
SPT(16)	1052591267047156979	0 8 20 24 42 48 62 80 102 120 134 140 158 162 174 182	407465470230