Prime p₀= 1049014569042608261 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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 28 2 28 2

SPT(16)	1049013342618301409	0 18 42 68 84 104 174 182 240 248 318 338 354 380 404 422	-1226424306852
SPT(16)	1049013501106613893	0 4 34 58 70 88 90 114 130 154 156 174 186 210 240 244	-1067935994368
SPT(16)	1049013911794996339	0 24 30 52 70 78 90 108 124 142 154 162 180 202 208 232	-657247611922
TPT(14)	1049013966546693221	0 2 90 92 126 128 216 218 228 230 240 242 258 260	-602495915040
TPT(14)	1049014181920101431	0 2 138 140 156 158 168 170 306 308 378 380 396 398	-387122506830
SPT(16)	1049014350388142041	0 10 12 60 70 72 96 112 126 142 166 168 178 226 228 238	-218654466220
SPT(16)	1049015163949975109	0 12 18 42 62 90 138 188 192 242 290 318 338 362 368 380	594907366848
SPT(16)	1049015268304035523	0 10 36 40 78 96 106 126 148 168 178 196 234 238 264 274	699261427262
STPT(10)	1049015698676098337	0 2 30 32 60 62 90 92 120 122	1129633490076
SPT(16)	1049015699525532197	0 2 30 56 72 84 96 104 162 170 182 194 210 236 264 266	1130482923936
STPT(10)	1049015987653449587	0 2 30 32 72 74 114 116 144 146	1418610841326