Prime p₀= 1011356313709345361 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: stoneageman
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1011355328668024859	0 38 44 54 72 120 158 180 182 204 242 290 308 318 324 362	-985041320502
SPT(16)	1011355342441064807	0 62 104 114 132 134 170 174 182 186 222 224 242 252 294 356	-971268280554
STPT(10)	1011355462351082669	0 2 42 44 60 62 78 80 120 122	-851358262692
SPT(16)	1011355532877641953	0 16 88 106 130 156 166 196 198 228 238 264 288 306 378 394	-780831703408
STPT(10)	1011355799172168221	0 2 30 32 78 80 126 128 156 158	-514537177140
SPT(16)	1011356061854580367	0 16 22 30 70 132 142 144 202 204 214 276 316 324 330 346	-251854764994
SPT(16)	1011356359732036679	0 8 48 50 102 132 138 140 180 182 188 218 270 272 312 320	46022691318
SPT(16)	1011356548299199591	0 12 66 112 130 132 142 172 180 210 220 222 240 286 340 352	234589854230
STPT(10)	1011356553102177221	0 2 36 38 78 80 120 122 156 158	239392831860
SPT(16)	1011356645560434599	0 32 44 72 74 98 144 150 242 248 294 318 320 348 360 392	331851089238
SPT(16)	1011356999663320591	0 40 58 78 100 102 112 142 276 306 316 318 340 360 378 418	685953975230