Prime p₀= 1078091038899660827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Spectrum
db: batch=76, k=10, 2 28 2 10 2

STPT(10)	1078090486210763939	0 2 42 44 90 92 138 140 180 182	-552688896888
STPT(10)	1078090512259516961	0 2 6 8 18 20 30 32 36 38	-526640143866
SPT(16)	1078090542089393431	0 18 76 100 106 112 126 162 166 202 216 222 228 252 310 328	-496810267396
SPT(16)	1078090816853125861	0 36 42 66 78 90 132 162 246 276 318 330 342 366 372 408	-222046534966
STPT(10)	1078090955139773129	0 2 42 44 60 62 78 80 120 122	-83759887698
SPT(16)	1078091034814075127	0 6 26 84 140 146 170 174 236 240 264 270 326 384 404 410	-4085585700
STPT(10)	1078091124019045229	0 2 30 32 60 62 90 92 120 122	85119384402
STPT(10)	1078091238499774979	0 2 18 20 30 32 42 44 60 62	199600114152
SPT(16)	1078091294485057991	0 8 20 26 42 48 50 90 98 138 140 146 162 168 180 188	255585397164
STPT(10)	1078091503750089461	0 2 6 8 48 50 90 92 96 98	464850428634
SPT(16)	1078091857747012777	0 4 40 42 54 70 82 84 130 132 144 160 172 174 210 214	818847351950