Prime p₀= 1013558082221305727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1013557032993957709	0 10 24 52 54 78 88 102 130 144 154 178 180 208 222 232	-1049227348018
SPT(16)	1013557079438589821	0 66 108 116 188 218 248 252 266 270 300 330 402 410 452 518	-1002782715906
TPT(14)	1013557714175326811	0 2 78 80 150 152 210 212 306 308 330 332 348 350	-368045978916
TPT(14)	1013557822190752637	0 2 12 14 42 44 84 86 162 164 192 194 390 392	-260030553090
STPT(10)	1013557976065034357	0 2 24 26 42 44 60 62 84 86	-106156271370
SPT(16)	1013557991664351191	0 18 48 50 86 90 92 102 116 126 128 132 168 170 200 218	-90556954536
STPT(10)	1013558521347159377	0 2 42 44 72 74 102 104 144 146	439125853650
STPT(10)	1013558689897121741	0 2 36 38 168 170 300 302 336 338	607675816014
SPT(16)	1013558705977956133	0 6 28 66 88 90 94 108 136 150 154 156 178 216 238 244	623756650406
SPT(16)	1013558736706759211	0 36 42 66 68 72 78 108 140 170 176 180 182 206 212 248	654485453484
STPT(10)	1013558808943678967	0 2 12 14 72 74 132 134 144 146	726722373240