Prime p₀= 728609824723247177 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [SG-2W]Kurzer
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	728608390735794497	0 36 80 84 102 104 152 162 164 174 222 224 242 246 290 326	-1433987452680
STPT(10)	728609107031249501	0 2 36 38 78 80 120 122 156 158	-717691997676
SPT(16)	728609199072632107	0 16 42 52 66 124 142 150 226 234 252 310 324 334 360 376	-625650615070
SPT(16)	728609345791223329	0 12 54 58 90 108 130 144 208 222 244 262 294 298 340 352	-478932023848
STPT(10)	728609557919305817	0 2 60 62 72 74 84 86 144 146	-266803941360
STPT(12)	728609727656571989	0 2 18 20 60 62 138 140 180 182 198 200	-97066675188
STPT(10)	728609899683727727	0 2 12 14 42 44 72 74 84 86	74960480550
SPT(16)	728610335289602009	0 2 12 38 48 60 72 80 90 98 110 122 132 158 168 170	510566354832
TPT(14)	728610660375662261	0 2 30 32 36 38 156 158 168 170 240 242 288 290	835652415084
STPT(10)	728610862513375967	0 2 30 32 72 74 114 116 144 146	1037790128790
SPT(16)	728611007057323633	0 24 34 36 66 124 126 136 234 244 246 304 334 336 346 370	1182334076456