Prime p₀= 1337551168318097987 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: Petrctale
db: batch=77, k=10, 2 70 2 28 2

SPT(16)	1337549035781343361	0 12 40 70 96 132 142 172 240 270 280 316 342 372 400 412	-2132536754626
SPT(16)	1337549498657054381	0 18 26 86 108 110 128 138 158 168 186 188 210 270 278 296	-1669661043606
STPT(10)	1337549668294324337	0 2 30 32 72 74 114 116 144 146	-1500023773650
STPT(10)	1337549991783939851	0 2 30 32 78 80 126 128 156 158	-1176534158136
STPT(10)	1337550144275410229	0 2 48 50 90 92 132 134 180 182	-1024042687758
SPT(16)	1337550529727572723	0 10 16 28 36 66 90 114 160 184 208 238 246 258 264 274	-638590525264
STPT(10)	1337551738832135777	0 2 30 32 42 44 54 56 84 86	570514037790
SPT(16)	1337551823908443791	0 92 98 102 120 126 140 180 218 258 272 278 296 300 306 398	655590345804
TPT(14)	1337552241171796841	0 2 36 38 48 50 120 122 156 158 168 170 198 200	1072853698854
STPT(10)	1337552254455275237	0 2 30 32 42 44 54 56 84 86	1086137177250
STPT(10)	1337552349797741177	0 2 60 62 72 74 84 86 144 146	1181479643190