Prime p₀= 1174305045591217451 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: xii5ku
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1174304341315442383	0 34 40 76 90 100 210 216 238 244 354 364 378 414 420 454	-704275775068
STPT(10)	1174304650156934027	0 2 30 32 42 44 54 56 84 86	-395434283424
SPT(18)	1174304659418136721	0 12 46 72 82 90 96 118 142 156 180 202 208 216 226 252 286 298	-386173080730
SPT(16)	1174304884013543273	0 18 50 56 68 78 98 116 228 246 266 276 288 294 326 344	-161577674178
STPT(10)	1174304945633160347	0 2 30 32 42 44 54 56 84 86	-99958057104
STPT(10)	1174305033092286551	0 2 30 32 78 80 126 128 156 158	-12498930900
SPT(16)	1174305166454740513	0 34 46 70 154 156 198 204 250 256 298 300 384 408 420 454	120863523062
SPT(16)	1174305288004474883	0 26 38 48 66 74 78 140 144 206 210 218 236 246 258 284	242413257432
SPT(16)	1174305508921436053	0 4 30 64 66 120 154 156 178 180 214 268 270 304 330 334	463330218602
SPT(16)	1174305673236962269	0 28 40 48 58 82 90 138 142 190 198 222 232 240 252 280	627645744818
STPT(10)	1174305845614001069	0 2 12 14 90 92 168 170 180 182	800022783618