Prime p₀= 1048039560115102739 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: stoneageman
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1048038392820773527	0 34 66 82 84 94 144 150 196 202 252 262 264 280 312 346	-1167294329212
SPT(16)	1048038433325767187	0 6 30 36 44 50 72 80 96 104 126 132 140 146 170 176	-1126789335552
STPT(10)	1048038614123368961	0 2 36 38 78 80 120 122 156 158	-945991733778
SPT(16)	1048039028866789537	0 22 30 40 106 156 162 172 180 190 196 246 312 322 330 352	-531248313202
STPT(10)	1048039130689172519	0 2 42 44 60 62 78 80 120 122	-429425930220
STPT(10)	1048039233410843447	0 2 54 56 72 74 90 92 144 146	-326704259292
SPT(16)	1048039682799652723	0 46 60 66 96 108 120 136 180 196 208 220 250 256 270 316	122684549984
SPT(16)	1048040080381150859	0 122 132 168 182 188 210 228 272 290 312 318 332 368 378 500	520266048120
STPT(10)	1048040369257834781	0 2 6 8 48 50 90 92 96 98	809142732042
SPT(16)	1048040695599596873	0 6 56 74 96 104 110 116 168 174 180 188 210 228 278 284	1135484494134
STPT(10)	1048040785583454977	0 2 30 32 42 44 54 56 84 86	1225468352238