Prime p₀= 728705897643855947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 118 2 118 2 10 2 (?)
a_n: 0 2 12 14 132 134 252 254 264 266
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: 266
Found by: MarkRBright
db: batch=73, k=10, 2 10 2 118 2

SPT(16)	728704619973213781	0 66 72 88 100 102 150 190 198 238 286 288 300 316 322 388	-1277670642166
SPT(20)	728704878508716671	0 18 56 78 90 126 150 168 182 216 242 276 290 308 332 368 380 402 440 458	-1019135139276
STPT(12)	728705068870407779	0 2 42 44 78 80 132 134 168 170 210 212	-828773448168
STPT(10)	728705408770045979	0 2 18 20 30 32 42 44 60 62	-488873809968
SPT(16)	728705443924208339	0 2 50 92 102 108 120 158 162 200 212 218 228 270 318 320	-453719647608
STPT(12)	728705591143647209	0 2 42 44 72 74 108 110 138 140 180 182	-306500208738
SPT(16)	728706251484870233	0 44 56 98 128 138 198 210 254 266 326 336 366 408 420 464	353841014286
STPT(10)	728706490735322129	0 2 30 32 60 62 90 92 120 122	593091466182
SPT(16)	728706662966929733	0 14 74 80 98 104 114 146 228 260 270 276 294 300 360 374	765323073786
TPT(14)	728706857853235169	0 2 18 20 60 62 108 110 240 242 318 320 390 392	960209379222
SPT(16)	728707291219693273	0 54 88 120 148 154 190 208 210 228 264 270 298 330 364 418	1393575837326