Prime p₀= 2331877969766020769 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2331875802313785821	0 2 36 38 78 80 120 122 156 158	-2167452234948
SPT(16)	2331875809821715753	0 16 24 30 40 58 84 88 246 250 276 294 304 310 318 334	-2159944305016
STPT(12)	2331876073161186437	0 2 30 32 42 44 72 74 84 86 114 116	-1896604834332
SPT(16)	2331876656580633707	0 20 32 42 84 110 132 150 224 242 264 290 332 342 354 374	-1313185387062
STPT(10)	2331877091095395539	0 2 48 50 90 92 132 134 180 182	-878670625230
SPT(16)	2331877883138453171	0 8 56 78 98 120 152 168 170 186 218 240 260 282 330 338	-86627567598
STPT(10)	2331878088819371969	0 2 30 32 60 62 90 92 120 122	119053351200
STPT(10)	2331878411777633861	0 2 6 8 18 20 30 32 36 38	442011613092
SPT(16)	2331878514087042863	0 8 24 68 108 120 126 134 150 158 164 176 216 260 276 284	544321022094
SPT(16)	2331878591264716847	0 2 20 30 92 110 126 132 134 140 156 174 236 246 264 266	621498696078
SPT(16)	2331878782744762991	0 6 36 56 90 116 132 192 200 260 276 302 336 356 386 392	812978742222