Prime p₀= 2310198316482966599 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: FritzB
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2310197291940640703	0 6 14 20 56 84 126 150 164 188 230 258 294 300 308 314	-1024542325896
STPT(10)	2310197380775151149	0 2 18 20 60 62 102 104 120 122	-935707815450
SPT(16)	2310197488922997563	0 44 50 108 126 156 180 200 204 224 248 278 296 354 360 404	-827559969036
SPT(16)	2310197651973135319	0 10 54 84 90 120 132 162 280 310 322 352 358 388 432 442	-664509831280
SPT(16)	2310197692018581973	0 46 48 60 84 114 124 208 216 300 310 340 364 376 378 424	-624464384626
SPT(16)	2310197724081562921	0 36 48 58 72 88 112 162 196 246 270 286 300 310 322 358	-592401403678
STPT(10)	2310198824166413627	0 2 42 44 72 74 102 104 144 146	507683447028
STPT(10)	2310198843939455267	0 2 30 32 42 44 54 56 84 86	527456488668
SPT(16)	2310199148674103957	0 14 50 56 90 132 144 174 212 242 254 296 330 336 372 386	832191137358
SPT(16)	2310199203977518193	0 98 140 146 156 216 230 260 264 294 308 368 378 384 426 524	887494551594
SPT(16)	2310199328994909361	0 6 76 100 106 126 130 162 196 228 232 252 258 282 352 358	1012511942762