Prime p₀= 772829651448253667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: marsinph
db: batch=73, k=10, 2 28 2 40 2

SPT(16)	772828668917526827	0 12 14 20 72 92 102 110 204 212 222 242 294 300 302 314	-982530726840
STPT(10)	772829118056406797	0 2 12 14 42 44 72 74 84 86	-533391846870
STPT(10)	772829162080912367	0 2 30 32 72 74 114 116 144 146	-489367341300
STPT(10)	772829266671445337	0 2 54 56 72 74 90 92 144 146	-384776808330
SPT(16)	772829463269757781	0 6 10 16 66 72 76 96 172 192 196 202 252 258 262 268	-188178495886
STPT(12)	772829516632272299	0 2 12 14 48 50 132 134 168 170 180 182	-134815981368
STPT(10)	772829759925105977	0 2 90 92 132 134 174 176 264 266	108476852310
SPT(16)	772830689023563197	0 14 20 56 80 86 110 114 122 126 150 156 180 216 222 236	1037575309530
STPT(12)	772830827020530431	0 2 18 20 60 62 96 98 138 140 156 158	1175572276764
SPT(16)	772830863192407829	0 18 20 32 38 60 62 78 104 120 122 144 150 162 164 182	1211744154162
STPT(10)	772831136329542539	0 2 18 20 30 32 42 44 60 62	1484881288872