Prime p₀= 2136658608537608567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2136657942483800297	0 2 42 44 72 74 102 104 144 146	-666053808270
SPT(16)	2136658012463968991	0 6 8 18 30 56 78 90 98 110 132 158 170 180 182 188	-596073639576
STPT(10)	2136658059799265867	0 2 42 44 72 74 102 104 144 146	-548738342700
STPT(10)	2136658384492255109	0 2 12 14 90 92 168 170 180 182	-224045353458
TPT(14)	2136658442786199719	0 2 78 80 168 170 270 272 288 290 330 332 342 344	-165751408848
TPT(14)	2136658490332977899	0 2 12 14 78 80 138 140 168 170 210 212 330 332	-118204630668
STPT(10)	2136658968471623327	0 2 30 32 42 44 54 56 84 86	359934014760
SPT(16)	2136659282368932173	0 14 24 48 66 146 158 168 206 216 228 308 326 350 360 374	673831323606
STPT(10)	2136659551427517461	0 2 36 38 78 80 120 122 156 158	942889908894
SPT(16)	2136660220500242809	0 12 28 42 154 180 198 264 268 334 352 378 490 504 520 532	1611962634242
SPT(16)	2136660440205639583	0 4 48 54 58 78 88 100 144 156 166 186 190 196 240 244	1831668031016