Prime p₀= 2049833603843052107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: Landjunge
db: batch=80, k=10, 2 40 2 88 2

SPT(16)	2049832670533940291	0 20 32 48 68 80 156 158 180 182 258 270 290 306 318 338	-933309111816
SPT(16)	2049832698887146273	0 16 28 58 78 94 136 148 156 168 210 226 246 276 288 304	-904955905834
SPT(16)	2049833169680651837	0 32 54 74 104 164 180 192 224 236 252 312 342 362 384 416	-434162400270
STPT(10)	2049833198696315027	0 2 30 32 72 74 114 116 144 146	-405146737080
SPT(16)	2049833426332601053	0 6 18 28 34 78 96 106 138 148 166 210 216 226 238 244	-177510451054
SPT(16)	2049833522839279783	0 88 118 130 144 154 244 256 288 300 390 400 414 426 456 544	-81003772324
TPT(14)	2049834256284259631	0 2 30 32 156 158 198 200 300 302 336 338 396 398	652441207524
SPT(16)	2049834337413148901	0 26 32 60 68 72 140 168 170 198 266 270 278 306 312 338	733570096794
STPT(12)	2049834350751797591	0 2 36 38 48 50 78 80 90 92 126 128	746908745484
SPT(16)	2049834428489360509	0 34 52 58 120 132 148 162 190 204 220 232 294 300 318 352	824646308402
STPT(10)	2049834501943644917	0 2 54 56 72 74 90 92 144 146	898100592810