Prime p₀= 2402030950937717789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Penguin
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2402030096083071089	0 12 32 62 72 114 150 198 224 272 308 350 360 390 410 422	-854854646700
SPT(16)	2402030230738279637	0 12 20 62 72 132 144 152 174 182 194 254 264 306 314 326	-720199438152
SPT(16)	2402030306937345979	0 4 24 58 100 108 114 142 180 208 214 222 264 298 318 322	-644000371810
STPT(10)	2402030639500211117	0 2 30 32 72 74 114 116 144 146	-311437506672
SPT(16)	2402030801416564673	0 6 14 20 26 36 50 84 200 234 248 258 264 270 278 284	-149521153116
TPT(14)	2402030850572598941	0 2 36 38 90 92 126 128 180 182 210 212 216 218	-100365118848
SPT(16)	2402031103808135273	0 24 26 38 48 50 68 140 144 216 234 236 246 258 260 284	152870417484
STPT(10)	2402031236674279421	0 2 30 32 78 80 126 128 156 158	285736561632
SPT(16)	2402031677805794759	0 2 50 98 110 114 134 194 228 288 308 312 324 372 420 422	726868076970
SPT(16)	2402031688954396601	0 62 68 78 98 120 198 200 240 242 320 342 362 372 378 440	738016678812
STPT(10)	2402031699814847171	0 2 36 38 78 80 120 122 156 158	748877129382