Prime p₀= 953476201454486621 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: Spectrum
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	953475648651826987	0 30 52 60 84 112 154 162 172 180 222 250 274 282 304 334	-552802659634
SPT(16)	953475766990880197	0 10 60 124 136 154 190 234 292 336 372 390 402 466 516 526	-434463606424
SPT(16)	953475971141041763	0 18 30 44 48 90 150 156 158 164 224 266 270 284 296 314	-230313444858
STPT(10)	953476028666410199	0 2 18 20 30 32 42 44 60 62	-172788076422
SPT(16)	953476075020070919	0 30 32 42 48 84 132 140 162 170 218 254 260 270 272 302	-126434415702
SPT(13)	953476088282625473	0 30 48 60 66 90 108 126 150 156 168 186 216	-113171861148
TPT(14)	953476613318779127	0 2 30 32 114 116 132 134 144 146 294 296 312 314	411864292506
SPT(16)	953476773699622213	0 4 16 18 30 34 60 100 144 184 210 214 226 228 240 244	572245135592
SPT(16)	953476969380880411	0 10 42 46 60 70 96 120 178 202 228 238 252 256 288 298	767926393790
STPT(10)	953477059914996899	0 2 42 44 60 62 78 80 120 122	858460510278
TPT(14)	953477100241891331	0 2 96 98 108 110 138 140 168 170 198 200 210 212	898787404710