Prime p₀= 1458805864595753459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JonS
db: batch=78, k=10, 2 28 2 28 2

STPT(10)	1458804507638590661	0 2 6 8 48 50 90 92 96 98	-1356957162798
SPT(18)	1458804517045772551	0 6 18 48 58 88 156 160 162 196 198 202 270 300 310 340 352 358	-1347549980908
STPT(10)	1458804757667673497	0 2 54 56 72 74 90 92 144 146	-1106928079962
TPT(14)	1458804827840599607	0 2 12 14 42 44 84 86 144 146 210 212 222 224	-1036755153852
SPT(16)	1458804997727312513	0 50 56 116 158 174 204 210 224 230 260 276 318 378 384 434	-866868440946
SPT(16)	1458805708263347099	0 38 42 54 84 108 120 132 140 152 164 188 218 230 234 272	-156332406360
SPT(16)	1458805868801926261	0 18 28 40 58 126 166 180 268 282 322 390 408 420 430 448	4206172802
STPT(10)	1458805985015925911	0 2 30 32 78 80 126 128 156 158	120420172452
STPT(10)	1458806142474369509	0 2 42 44 60 62 78 80 120 122	277878616050
SPT(16)	1458806496012197021	0 2 8 18 42 50 60 128 132 200 210 218 242 252 258 260	631416443562
SPT(16)	1458807322999268867	0 14 20 32 42 50 80 92 132 144 174 182 192 204 210 224	1458403515408