Prime p₀= 1333312609431867731 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: HenkM
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1333311474733478503	0 28 54 60 76 84 120 154 180 214 250 258 274 280 306 334	-1134698389228
SPT(16)	1333311733992820411	0 16 40 48 58 60 70 88 168 186 196 198 208 216 240 256	-875439047320
STPT(10)	1333311921936954299	0 2 18 20 30 32 42 44 60 62	-687494913432
STPT(10)	1333312098542380067	0 2 42 44 72 74 102 104 144 146	-510889487664
SPT(20)	1333312120275046157	0 24 26 32 50 54 102 122 140 186 200 246 264 284 332 336 354 360 362 386	-489156821574
STPT(10)	1333312149169249589	0 2 18 20 30 32 42 44 60 62	-460262618142
SPT(16)	1333312991355414161	0 50 98 152 158 176 212 240 248 276 312 330 336 390 438 488	381923546430
SPT(16)	1333313062275240841	0 16 28 46 60 72 120 132 226 238 286 298 312 330 342 358	452843373110
STPT(10)	1333313174936705267	0 2 30 32 42 44 54 56 84 86	565504837536
STPT(10)	1333313303634916787	0 2 30 32 42 44 54 56 84 86	694203049056
SPT(16)	1333313358595719821	0 6 80 102 126 132 150 182 210 242 260 266 290 312 386 392	749163852090