Prime p₀= 1257872968274117717 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: Dirk Broer
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1257871750990383773	0 18 38 80 110 138 140 180 194 234 236 264 294 336 356 374	-1217283733944
STPT(10)	1257871849549919477	0 2 30 32 42 44 54 56 84 86	-1118724198240
SPT(16)	1257872011128334237	0 16 52 70 94 114 132 136 150 154 172 192 216 234 270 286	-957145783480
STPT(12)	1257872117297685221	0 2 36 38 48 50 78 80 90 92 126 128	-850976432496
STPT(10)	1257872330034998021	0 2 36 38 78 80 120 122 156 158	-638239119696
SPT(16)	1257872827251192833	0 18 20 48 80 98 116 126 140 150 168 186 218 246 248 266	-141022924884
SPT(16)	1257873010535851469	0 8 44 62 102 114 132 144 158 170 188 200 240 258 294 302	42261733752
SPT(16)	1257873025800665767	0 12 30 100 120 142 190 240 286 336 384 406 426 496 514 526	57526548050
SPT(16)	1257873028374388967	0 30 36 56 80 84 104 140 150 186 206 210 234 254 260 290	60100271250
SPT(16)	1257873512487107939	0 12 14 20 54 62 108 122 150 164 210 218 252 258 260 272	544212990222
STPT(10)	1257873854161939757	0 2 12 14 42 44 72 74 84 86	885887822040