Prime p₀= 1078091238499774979 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Spectrum
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1078090542089393431	0 18 76 100 106 112 126 162 166 202 216 222 228 252 310 328	-696410381548
SPT(16)	1078090816853125861	0 36 42 66 78 90 132 162 246 276 318 330 342 366 372 408	-421646649118
STPT(10)	1078090955139773129	0 2 42 44 60 62 78 80 120 122	-283360001850
SPT(16)	1078091034814075127	0 6 26 84 140 146 170 174 236 240 264 270 326 384 404 410	-203685699852
STPT(10)	1078091038899660827	0 2 30 32 42 44 54 56 84 86	-199600114152
STPT(10)	1078091124019045229	0 2 30 32 60 62 90 92 120 122	-114480729750
SPT(16)	1078091294485057991	0 8 20 26 42 48 50 90 98 138 140 146 162 168 180 188	55985283012
STPT(10)	1078091503750089461	0 2 6 8 48 50 90 92 96 98	265250314482
SPT(16)	1078091857747012777	0 4 40 42 54 70 82 84 130 132 144 160 172 174 210 214	619247237798
SPT(16)	1078091884829496533	0 8 24 36 38 44 68 80 84 96 120 126 128 140 156 164	646329721554
TPT(14)	1078091885059852517	0 2 54 56 72 74 150 152 162 164 204 206 240 242	646560077538