Prime p₀= 2334177709700012357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2334175287119356259	0 12 54 78 104 108 132 134 138 140 164 168 194 218 260 272	-2422580656098
STPT(10)	2334176388409715849	0 2 18 20 30 32 42 44 60 62	-1321290296508
STPT(10)	2334176604320059319	0 2 42 44 60 62 78 80 120 122	-1105379953038
SPT(16)	2334176637617637833	0 26 54 60 66 96 104 126 164 186 194 224 230 236 264 290	-1072082374524
SPT(16)	2334177407204006827	0 12 30 42 46 66 82 94 102 114 130 150 154 166 184 196	-302496005530
STPT(10)	2334177642452163791	0 2 6 8 48 50 90 92 96 98	-67247848566
SPT(16)	2334177717743838179	0 12 14 24 30 78 98 114 188 204 224 272 278 288 290 302	8043825822
TPT(14)	2334177779432404601	0 2 36 38 90 92 126 128 216 218 306 308 330 332	69732392244
STPT(10)	2334178520424024887	0 2 30 32 42 44 54 56 84 86	810724012530
STPT(10)	2334179037362003681	0 2 90 92 150 152 210 212 300 302	1327661991324
STPT(10)	2334179446429044287	0 2 54 56 132 134 210 212 264 266	1736729031930