Prime p₀= 2044111422619275011 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: runningman333
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2044109709075675127	0 6 24 34 52 64 66 76 120 130 132 144 162 172 190 196	-1713543599884
STPT(10)	2044110026104132079	0 2 18 20 30 32 42 44 60 62	-1396515142932
SPT(16)	2044110668162646647	0 12 14 44 92 104 110 134 180 204 210 222 270 300 302 314	-754456628364
SPT(16)	2044110722615069987	0 2 36 50 60 92 116 126 146 156 180 212 222 236 270 272	-700004205024
SPT(16)	2044110794617619863	0 10 24 46 70 144 156 198 256 298 310 384 408 430 444 454	-628001655148
STPT(10)	2044110800571662201	0 2 36 38 78 80 120 122 156 158	-622047612810
STPT(10)	2044111560310002497	0 2 30 32 42 44 54 56 84 86	137690727486
STPT(10)	2044112163814925717	0 2 30 32 120 122 210 212 240 242	741195650706
SPT(16)	2044112434536257773	0 34 48 58 70 114 120 150 154 184 190 234 246 256 270 304	1011916982762
STPT(10)	2044112663707475717	0 2 42 44 72 74 102 104 144 146	1241088200706
STPT(10)	2044113234390352421	0 2 6 8 18 20 30 32 36 38	1811771077410