Prime p₀= 1049016806682781379 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: stoneageman
db: batch=76, k=10, 2 16 2 40 2

SPT(16)	1049015163949975109	0 12 18 42 62 90 138 188 192 242 290 318 338 362 368 380	-1642732806270
SPT(16)	1049015268304035523	0 10 36 40 78 96 106 126 148 168 178 196 234 238 264 274	-1538378745856
STPT(10)	1049015698676098337	0 2 30 32 60 62 90 92 120 122	-1108006683042
SPT(16)	1049015699525532197	0 2 30 56 72 84 96 104 162 170 182 194 210 236 264 266	-1107157249182
STPT(10)	1049015987653449587	0 2 30 32 72 74 114 116 144 146	-819029331792
SPT(16)	1049016661012695227	0 12 14 20 30 62 116 146 150 180 234 266 276 282 284 296	-145670086152
STPT(10)	1049016842081842367	0 2 30 32 42 44 54 56 84 86	35399060988
SPT(16)	1049016844521959431	0 6 10 40 52 60 76 132 136 192 208 216 228 258 262 268	37839178052
SPT(16)	1049017401199995517	0 16 52 54 114 136 162 166 180 184 210 232 292 294 330 346	594517214138
STPT(10)	1049017529521973507	0 2 60 62 72 74 84 86 144 146	722839192128
STPT(10)	1049017848297820241	0 2 36 38 78 80 120 122 156 158	1041615038862