Prime p₀= 1078090955139773129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Spectrum
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1078089713866592579	0 14 62 80 92 98 102 110 132 140 144 150 162 180 228 242	-1241273180550
TPT(14)	1078089861389921507	0 2 12 14 264 266 294 296 372 374 402 404 414 416	-1093749851622
STPT(10)	1078090486210763939	0 2 42 44 90 92 138 140 180 182	-468929009190
STPT(10)	1078090512259516961	0 2 6 8 18 20 30 32 36 38	-442880256168
SPT(16)	1078090542089393431	0 18 76 100 106 112 126 162 166 202 216 222 228 252 310 328	-413050379698
SPT(16)	1078090816853125861	0 36 42 66 78 90 132 162 246 276 318 330 342 366 372 408	-138286647268
SPT(16)	1078091034814075127	0 6 26 84 140 146 170 174 236 240 264 270 326 384 404 410	79674301998
STPT(10)	1078091038899660827	0 2 30 32 42 44 54 56 84 86	83759887698
STPT(10)	1078091124019045229	0 2 30 32 60 62 90 92 120 122	168879272100
STPT(10)	1078091238499774979	0 2 18 20 30 32 42 44 60 62	283360001850
SPT(16)	1078091294485057991	0 8 20 26 42 48 50 90 98 138 140 146 162 168 180 188	339345284862