Prime p₀= 944687786659747379 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: HenkM
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	944686831641043697	0 12 84 122 126 134 164 170 246 252 282 290 294 332 404 416	-955018703682
STPT(10)	944687265647118137	0 2 60 62 72 74 84 86 144 146	-521012629242
SPT(16)	944687306903879417	0 42 60 62 74 84 90 92 102 104 110 120 132 134 152 194	-479755867962
STPT(10)	944687423059873739	0 2 78 80 120 122 162 164 240 242	-363599873640
SPT(16)	944687437073776567	0 36 106 120 136 150 174 196 240 262 286 300 316 330 400 436	-349585970812
SPT(16)	944687579624640727	0 40 66 82 102 126 144 186 220 262 280 304 324 340 366 406	-207035106652
STPT(10)	944687829192140951	0 2 30 32 78 80 126 128 156 158	42532393572
SPT(16)	944688329009155333	0 4 10 28 36 54 64 106 168 210 220 238 246 264 270 274	542349407954
STPT(10)	944688471303554741	0 2 30 32 78 80 126 128 156 158	684643807362
TPT(14)	944688626120244959	0 2 72 74 90 92 120 122 288 290 312 314 420 422	839460497580
SPT(16)	944689117161551023	0 16 114 126 196 204 210 304 390 484 490 498 568 580 678 694	1330501803644