Prime p₀= 2377768496906505551 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 34 2 40 2

STPT(10)	2377767072154245449	0 2 18 20 30 32 42 44 60 62	-1424752260102
SPT(16)	2377767387134952017	0 2 6 20 32 44 62 66 140 144 162 174 186 200 204 206	-1109771553534
SPT(16)	2377767504739378673	0 8 36 108 138 206 234 264 290 320 348 416 446 518 546 554	-992167126878
SPT(16)	2377767625830421777	0 30 36 40 42 82 84 96 130 142 144 184 186 190 196 226	-871076083774
SPT(16)	2377768204781532841	0 12 18 36 102 106 130 148 150 168 192 196 262 280 286 298	-292124972710
SPT(16)	2377768258541961713	0 26 44 50 54 86 96 126 164 194 204 236 240 246 264 290	-238364543838
TPT(14)	2377768750216833221	0 2 78 80 120 122 138 140 210 212 288 290 336 338	253310327670
STPT(10)	2377768944489218279	0 2 18 20 30 32 42 44 60 62	447582712728
STPT(10)	2377768995335847401	0 2 120 122 138 140 156 158 276 278	498429341850
SPT(18)	2377769074340986549	0 10 28 34 42 60 88 94 178 234 318 324 352 370 378 384 402 412	577434480998
SPT(16)	2377769793356580683	0 8 54 56 78 90 98 110 114 126 134 146 168 170 216 224	1296450075132