Prime p₀= 1085726880807069377 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG]ATA-Rolf
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1085725398767726909	0 54 90 98 104 114 180 230 288 338 404 414 420 428 464 518	-1482039342468
STPT(10)	1085725467975590381	0 2 36 38 78 80 120 122 156 158	-1412831478996
TPT(14)	1085725564869181877	0 2 42 44 84 86 90 92 114 116 144 146 222 224	-1315937887500
STPT(10)	1085725601385128489	0 2 30 32 60 62 90 92 120 122	-1279421940888
STPT(10)	1085725735402164287	0 2 12 14 72 74 132 134 144 146	-1145404905090
TPT(14)	1085726011585370297	0 2 72 74 102 104 204 206 294 296 462 464 504 506	-869221699080
STPT(10)	1085727093292399427	0 2 72 74 102 104 132 134 204 206	212485330050
SPT(16)	1085727839340192289	0 30 108 118 148 184 204 208 234 238 258 294 324 334 412 442	958533122912
STPT(10)	1085728215881005727	0 2 30 32 60 62 90 92 120 122	1335073936350
TPT(14)	1085728341843023531	0 2 30 32 90 92 240 242 336 338 498 500 540 542	1461035954154
SPT(16)	1085728375975236023	0 24 44 60 90 116 128 150 164 186 198 224 254 270 290 314	1495168166646