Prime p₀= 2259915834826605581 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 40 2 40 2 64 2 (?)
a_n: 0 2 66 68 108 110 150 152 216 218
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: 218
Found by: Ben
db: batch=81, k=10, 2 64 2 40 2

SPT(16)	2259914585266903339	0 40 78 108 112 120 132 168 172 208 220 228 232 262 300 340	-1249559702242
SPT(16)	2259914815136086747	0 34 42 60 64 84 144 174 190 220 280 300 304 322 330 364	-1019690518834
STPT(10)	2259915436514794691	0 2 6 8 48 50 90 92 96 98	-398311810890
STPT(10)	2259915519435050759	0 2 42 44 60 62 78 80 120 122	-315391554822
SPT(16)	2259915671675267027	0 24 32 66 86 90 92 102 104 114 116 120 140 174 182 206	-163151338554
STPT(10)	2259915711528362351	0 2 90 92 168 170 246 248 336 338	-123298243230
TPT(14)	2259916093773724847	0 2 24 26 30 32 60 62 240 242 354 356 390 392	258947119266
SPT(16)	2259916420752105139	0 78 82 90 94 118 120 204 238 322 324 348 352 360 364 442	585925499558
SPT(16)	2259916435447346549	0 12 14 24 38 42 44 90 122 168 170 174 188 198 200 212	600620740968
SPT(16)	2259917151168884167	0 34 100 114 120 132 160 162 184 186 214 226 232 246 312 346	1316342278586
STPT(10)	2259917311475588267	0 2 24 26 42 44 60 62 84 86	1476648982686