Prime p₀= 1049015987653449587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: stoneageman
db: batch=76, k=10, 2 28 2 40 2

SPT(16)	1049014350388142041	0 10 12 60 70 72 96 112 126 142 166 168 178 226 228 238	-1637265307546
STPT(10)	1049014569042608261	0 2 30 32 60 62 90 92 120 122	-1418610841326
SPT(16)	1049015163949975109	0 12 18 42 62 90 138 188 192 242 290 318 338 362 368 380	-823703474478
SPT(16)	1049015268304035523	0 10 36 40 78 96 106 126 148 168 178 196 234 238 264 274	-719349414064
STPT(10)	1049015698676098337	0 2 30 32 60 62 90 92 120 122	-288977351250
SPT(16)	1049015699525532197	0 2 30 56 72 84 96 104 162 170 182 194 210 236 264 266	-288127917390
SPT(16)	1049016661012695227	0 12 14 20 30 62 116 146 150 180 234 266 276 282 284 296	673359245640
STPT(10)	1049016806682781379	0 2 18 20 60 62 102 104 120 122	819029331792
STPT(10)	1049016842081842367	0 2 30 32 42 44 54 56 84 86	854428392780
SPT(16)	1049016844521959431	0 6 10 40 52 60 76 132 136 192 208 216 228 258 262 268	856868509844
SPT(16)	1049017401199995517	0 16 52 54 114 136 162 166 180 184 210 232 292 294 330 346	1413546545930