Prime p₀= 1902831428736068057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Landjunge
db: batch=80, k=10, 2 52 2 76 2

SPT(16)	1902829780880645927	0 24 44 140 144 200 204 246 254 296 300 356 360 456 476 500	-1647855422130
SPT(16)	1902829863402709453	0 46 58 84 88 106 130 150 154 174 198 216 220 246 258 304	-1565333358604
STPT(10)	1902830249350487579	0 2 12 14 90 92 168 170 180 182	-1179385580478
SPT(16)	1902830608672203731	0 6 66 72 78 80 96 98 120 122 138 140 146 152 212 218	-820063864326
SPT(16)	1902830766936919991	0 2 6 30 36 56 66 72 146 152 162 182 188 212 216 218	-661799148066
SPT(16)	1902831058979889421	0 78 102 130 136 172 192 210 238 256 276 312 318 346 370 448	-369756178636
STPT(10)	1902831687287777339	0 2 18 20 30 32 42 44 60 62	258551709282
STPT(10)	1902831772242875867	0 2 30 32 42 44 54 56 84 86	343506807810
STPT(10)	1902831853559203667	0 2 60 62 102 104 144 146 204 206	424823135610
STPT(10)	1902832291872418367	0 2 24 26 42 44 60 62 84 86	863136350310
STPT(10)	1902833076705600407	0 2 30 32 42 44 54 56 84 86	1647969532350