Prime p₀= 1089540736056285827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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 28 2 40 2

SPT(16)	1089539708729282141	0 8 62 78 122 128 140 146 192 198 210 216 260 276 330 338	-1027327003686
STPT(10)	1089539843411197229	0 2 18 20 30 32 42 44 60 62	-892645088598
STPT(10)	1089540100170151307	0 2 60 62 72 74 84 86 144 146	-635886134520
TPT(14)	1089540461631874169	0 2 12 14 78 80 150 152 168 170 192 194 222 224	-274424411658
SPT(16)	1089540531262133689	0 40 58 88 90 120 172 180 190 198 250 280 282 312 330 370	-204794152138
TPT(14)	1089540599223363449	0 2 42 44 120 122 138 140 162 164 180 182 282 284	-136832922378
SPT(16)	1089541128472040989	0 30 40 42 54 112 132 142 150 160 180 238 250 252 262 292	392415755162
STPT(10)	1089541199771640137	0 2 42 44 132 134 222 224 264 266	463715354310
SPT(16)	1089541391194156931	0 2 8 42 50 90 98 128 132 162 170 210 218 252 258 260	655137871104
STPT(10)	1089541692148845491	0 2 6 8 48 50 90 92 96 98	956092559664
SPT(16)	1089541844144505179	0 38 74 80 134 138 150 204 224 278 290 294 348 354 390 428	1108088219352