Prime p₀= 779658808320410111 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: GLeeM
db: batch=73, k=10, 2 34 2 40 2

SPT(16)	779657259797626517	0 2 6 26 84 152 216 222 284 290 354 422 480 500 504 506	-1548522783594
SPT(16)	779657340709502699	0 38 68 72 78 80 104 132 170 198 222 224 230 234 264 302	-1467610907412
SPT(16)	779657459033698981	0 22 30 36 112 120 136 142 150 156 172 180 256 262 270 292	-1349286711130
TPT(14)	779658639831906869	0 2 12 14 108 110 150 152 168 170 180 182 282 284	-168488503242
SPT(16)	779658701779834159	0 10 22 54 70 82 108 112 150 154 180 192 208 240 252 262	-106540575952
SPT(16)	779658788328625441	0 10 52 82 90 126 136 148 150 162 172 208 216 246 288 298	-19991784670
STPT(10)	779659462086151187	0 2 72 74 102 104 132 134 204 206	653765741076
SPT(16)	779659732772824469	0 2 42 48 54 68 80 90 122 132 144 158 164 170 210 212	924452414358
STPT(10)	779660468563438349	0 2 18 20 30 32 42 44 60 62	1660243028238
SPT(16)	779660675513161159	0 12 28 40 42 58 78 100 180 202 222 238 240 252 268 280	1867192751048
STPT(10)	779660717868821807	0 2 42 44 72 74 102 104 144 146	1909548411696