Prime p₀= 2123468644773324089 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 130 2 16 2 16 2 130 2 (?)
a_n: 0 2 132 134 150 152 168 170 300 302
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: 302
Found by: matsu_pl
db: batch=80, k=10, 2 130 2 16 2

SPT(16)	2123467164226177849	0 4 10 22 34 52 132 150 172 190 270 288 300 312 318 322	-1480547146240
SPT(16)	2123467196134687943	0 60 74 80 114 180 198 200 234 236 254 320 354 360 374 434	-1448638636146
TPT(14)	2123467473195088451	0 2 6 8 30 32 60 62 186 188 198 200 210 212	-1171578235638
STPT(10)	2123467670558477429	0 2 18 20 30 32 42 44 60 62	-974214846660
SPT(16)	2123467858109124587	0 12 26 60 84 90 104 110 126 132 146 152 176 210 224 236	-786664199502
SPT(16)	2123468159269257347	0 2 42 56 96 110 122 126 140 144 156 170 210 224 264 266	-485504066742
SPT(18)	2123468795859947741	0 36 38 60 66 90 108 126 132 176 182 200 218 242 248 270 272 308	151086623652
SPT(16)	2123468828486592061	0 12 66 132 166 180 198 228 250 280 298 312 346 412 466 478	183713267972
SPT(16)	2123468925711147031	0 30 36 52 66 70 78 132 136 190 198 202 216 232 238 268	280937822942
SPT(16)	2123469125965888067	0 6 12 14 50 66 72 80 96 104 110 126 162 164 170 176	481192563978
SPT(16)	2123469263011941629	0 24 42 54 72 144 170 264 308 402 428 500 518 530 548 572	618238617540