Prime p₀= 1958733374122721309 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: Landjunge
db: batch=80, k=10, 2 40 2 76 2

SPT(16)	1958731690992503569	0 4 18 28 58 84 90 130 132 172 178 204 234 244 258 262	-1683130217740
STPT(10)	1958731961373601121	0 2 36 38 78 80 120 122 156 158	-1412749120188
SPT(16)	1958732626699683193	0 10 24 34 36 60 64 90 130 156 160 184 186 196 210 220	-747423038116
SPT(16)	1958732883805377607	0 22 46 76 82 120 124 142 144 162 166 204 210 240 264 286	-490317343702
TPT(14)	1958733016015108181	0 2 6 8 78 80 90 92 186 188 270 272 288 290	-358107613128
STPT(10)	1958733227639556617	0 2 30 32 42 44 54 56 84 86	-146483164692
SPT(16)	1958733386167241309	0 8 20 38 42 44 80 92 120 132 168 170 174 192 204 212	12044520000
STPT(10)	1958733444218135867	0 2 60 62 102 104 144 146 204 206	70095414558
STPT(10)	1958733553400068271	0 2 30 32 78 80 126 128 156 158	179277346962
STPT(10)	1958733755699762537	0 2 12 14 42 44 72 74 84 86	381577041228
TPT(14)	1958734073206493171	0 2 30 32 66 68 78 80 120 122 210 212 240 242	699083771862