Prime p₀= 1257833686367202611 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: xii5ku
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1257833056266199541	0 60 62 116 140 146 150 156 176 182 186 192 216 270 272 332	-630101003070
STPT(10)	1257833124562686311	0 2 6 8 48 50 90 92 96 98	-561804516300
SPT(16)	1257833154114543493	0 4 28 36 54 76 88 114 130 156 168 190 208 216 240 244	-532252659118
SPT(16)	1257833426212553107	0 10 30 36 46 54 66 82 84 100 112 120 130 136 156 166	-260154649504
TPT(14)	1257833436004092851	0 2 78 80 96 98 120 122 126 128 156 158 198 200	-250363109760
SPT(16)	1257833466945807991	0 18 22 40 82 88 142 148 270 276 330 336 378 396 400 418	-219421394620
STPT(10)	1257833731619001959	0 2 78 80 120 122 162 164 240 242	45251799348
SPT(16)	1257834046333607447	0 24 50 56 66 84 116 122 144 150 182 200 210 216 242 266	359966404836
SPT(16)	1257834485890553171	0 38 80 98 110 116 126 152 186 212 222 228 240 258 300 338	799523350560
SPT(16)	1257834577299101339	0 14 24 32 102 140 158 168 224 234 252 290 360 368 378 392	890931898728
STPT(10)	1257834722821882937	0 2 30 32 42 44 54 56 84 86	1036454680326