Prime p₀= 1288789167777599669 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: mikey
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1288787399348024699	0 32 54 60 62 110 140 168 194 222 252 300 302 308 330 362	-1768429574970
SPT(16)	1288787496607968739	0 18 28 40 42 78 88 172 180 264 274 310 312 324 334 352	-1671169630930
STPT(10)	1288787575988142611	0 2 6 8 168 170 330 332 336 338	-1591789457058
STPT(10)	1288788155506345367	0 2 30 32 42 44 54 56 84 86	-1012271254302
SPT(16)	1288788541202485423	0 36 46 58 60 66 78 88 126 136 148 154 156 168 178 214	-626575114246
STPT(10)	1288788706443701789	0 2 18 20 30 32 42 44 60 62	-461333897880
STPT(10)	1288789434540883547	0 2 30 32 42 44 54 56 84 86	266763283878
SPT(16)	1288789480376113007	0 36 102 110 116 144 152 162 164 174 182 210 216 224 290 326	312598513338
SPT(16)	1288789662878536411	0 60 106 120 130 132 136 220 288 372 376 378 388 402 448 508	495100936742
SPT(16)	1288789889290854043	0 4 108 114 130 174 184 234 280 330 340 384 400 406 510 514	721513254374
SPT(16)	1288790037638774903	0 36 60 66 68 126 150 176 228 254 278 336 338 344 368 404	869861175234