Prime p₀= 2049979110222143081 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2049977493788166961	0 6 16 18 28 30 46 72 76 102 118 120 130 132 142 148	-1616433976120
STPT(10)	2049977784384981557	0 2 12 14 42 44 72 74 84 86	-1325837161524
STPT(10)	2049978500640149081	0 2 30 32 60 62 90 92 120 122	-609581994000
SPT(16)	2049978529747352653	0 28 36 40 64 66 78 150 184 256 268 270 294 298 306 334	-580474790428
STPT(10)	2049978991311767429	0 2 42 44 90 92 138 140 180 182	-118910375652
SPT(16)	2049979057174538921	0 96 98 116 126 162 176 188 210 222 236 272 282 300 302 398	-53047604160
STPT(10)	2049979399225957019	0 2 42 44 60 62 78 80 120 122	289003813938
STPT(10)	2049979443565850309	0 2 42 44 60 62 78 80 120 122	333343707228
STPT(10)	2049980138500396757	0 2 30 32 72 74 114 116 144 146	1028278253676
SPT(16)	2049980277752581529	0 20 90 98 120 150 168 188 222 242 260 290 312 320 390 410	1167530438448
SPT(16)	2049980379243718309	0 10 22 34 40 94 100 114 160 174 180 234 240 252 264 274	1269021575228