Prime p₀= 1089540100170151307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: fake
db: batch=76, k=10, 2 58 2 10 2

STPT(12)	1089537986262342467	0 2 30 32 42 44 90 92 102 104 132 134	-2113907808840
STPT(10)	1089538572506365697	0 2 60 62 72 74 84 86 144 146	-1527663785610
STPT(10)	1089539566120051049	0 2 48 50 90 92 132 134 180 182	-534050100258
SPT(16)	1089539580935470339	0 24 58 72 108 112 190 210 472 492 570 574 610 624 658 682	-519234680968
SPT(16)	1089539708729282141	0 8 62 78 122 128 140 146 192 198 210 216 260 276 330 338	-391440869166
STPT(10)	1089539843411197229	0 2 18 20 30 32 42 44 60 62	-256758954078
TPT(14)	1089540461631874169	0 2 12 14 78 80 150 152 168 170 192 194 222 224	361461722862
SPT(16)	1089540531262133689	0 40 58 88 90 120 172 180 190 198 250 280 282 312 330 370	431091982382
TPT(14)	1089540599223363449	0 2 42 44 120 122 138 140 162 164 180 182 282 284	499053212142
STPT(10)	1089540736056285827	0 2 30 32 72 74 114 116 144 146	635886134520
SPT(16)	1089541128472040989	0 30 40 42 54 112 132 142 150 160 180 238 250 252 262 292	1028301889682