Prime p₀= 1089568727751154757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1089567735400071157	0 24 40 60 66 76 124 130 306 312 360 370 376 396 412 436	-992351083600
STPT(10)	1089567851181005921	0 2 6 8 48 50 90 92 96 98	-876570148836
STPT(10)	1089567888038800271	0 2 6 8 48 50 90 92 96 98	-839712354486
STPT(10)	1089568248023739269	0 2 42 44 60 62 78 80 120 122	-479727415488
SPT(16)	1089568286881514623	0 24 78 94 100 108 126 138 166 178 196 204 210 226 280 304	-440869640134
SPT(16)	1089568553164139827	0 10 16 76 84 106 114 142 204 232 240 262 270 330 336 346	-174587014930
SPT(16)	1089569102171596001	0 72 86 102 120 140 170 176 222 228 258 278 296 312 326 398	374420441244
STPT(10)	1089569180483061329	0 2 42 44 60 62 78 80 120 122	452731906572
TPT(16)	1089569240986594637	0 2 24 26 42 44 90 92 150 152 162 164 174 176 192 194	513235439880
SPT(16)	1089569478123745961	0 18 60 102 138 158 182 210 248 276 300 320 356 398 440 458	750372591204
SPT(16)	1089569724057214591	0 10 112 120 132 148 178 190 198 210 240 256 268 276 378 388	996306059834