Prime p₀= 2565935128423033721 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 40 2

SPT(16)	2565934255855898861	0 20 30 38 62 68 90 98 162 170 192 198 222 230 240 260	-872567134860
STPT(10)	2565934279256096891	0 2 6 8 18 20 30 32 36 38	-849166936830
STPT(10)	2565934554730344527	0 2 30 32 72 74 114 116 144 146	-573692689194
SPT(16)	2565934683063537473	0 30 78 150 156 164 186 206 288 308 330 338 344 416 464 494	-445359496248
SPT(16)	2565934772214828517	0 6 54 60 72 76 94 96 130 132 150 154 166 172 220 226	-356208205204
STPT(10)	2565934897003019291	0 2 36 38 78 80 120 122 156 158	-231420014430
STPT(10)	2565935184054691847	0 2 30 32 72 74 114 116 144 146	55631658126
STPT(10)	2565935608925709071	0 2 6 8 18 20 30 32 36 38	480502675350
SPT(16)	2565935661497489257	0 16 34 36 64 82 126 142 264 280 324 342 370 372 390 406	533074455536
STPT(10)	2565936012006097499	0 2 18 20 30 32 42 44 60 62	883583063778
SPT(16)	2565936187688026007	0 86 96 116 152 176 186 200 222 236 246 270 306 326 336 422	1059264992286