Prime p₀= 1319376318250777739 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: Megacruncher
db: batch=77, k=10, 2 76 2 40 2

SPT(16)	1319375327667184297	0 4 16 42 46 82 100 112 144 156 174 210 214 240 252 256	-990583593442
SPT(16)	1319375720339652163	0 4 28 30 34 40 60 84 214 238 258 264 268 270 294 298	-597911125576
STPT(10)	1319375933844236237	0 2 54 56 72 74 90 92 144 146	-384406541502
SPT(16)	1319376023257044689	0 48 54 110 158 192 198 210 212 224 230 264 312 368 374 422	-294993733050
STPT(10)	1319376199496421431	0 2 30 32 78 80 126 128 156 158	-118754356308
STPT(10)	1319376221023562417	0 2 60 62 102 104 144 146 204 206	-97227215322
STPT(10)	1319376396530106557	0 2 24 26 42 44 60 62 84 86	78279328818
SPT(16)	1319376628816986559	0 10 40 42 58 88 94 112 180 198 204 234 250 252 282 292	310566208820
TPT(14)	1319377051967960747	0 2 12 14 84 86 144 146 150 152 180 182 234 236	733717183008
SPT(16)	1319377156963980973	0 18 28 34 48 126 130 150 154 174 178 256 270 276 286 304	838713203234
TPT(14)	1319377262652334979	0 2 60 62 120 122 132 134 168 170 198 200 228 230	944401557240