Prime p₀= 1265678299990678547 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: rlacr
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1265677137412671743	0 6 30 36 78 126 140 156 158 174 188 236 278 284 308 314	-1162578006804
STPT(10)	1265677294243184489	0 2 42 44 60 62 78 80 120 122	-1005747494058
SPT(16)	1265677490897663741	0 78 86 128 132 156 192 200 258 266 302 326 330 372 380 458	-809093014806
STPT(10)	1265677578005758199	0 2 78 80 120 122 162 164 240 242	-721984920348
SPT(16)	1265677873149354163	0 64 78 88 148 154 174 178 210 214 234 240 300 310 324 388	-426841324384
SPT(16)	1265678174572168141	0 22 28 30 82 100 126 168 250 292 318 336 388 390 396 418	-125418510406
SPT(16)	1265678527430321189	0 80 84 98 104 122 138 168 194 224 240 258 264 278 282 362	227439642642
STPT(10)	1265678903673692117	0 2 30 32 42 44 54 56 84 86	603683013570
STPT(10)	1265679004909980767	0 2 12 14 42 44 72 74 84 86	704919302220
SPT(16)	1265679437695146137	0 2 56 60 86 182 212 224 252 264 294 390 416 420 474 476	1137704467590
STPT(10)	1265679769322596877	0 2 12 14 42 44 72 74 84 86	1469331918330