Prime p₀= 3007883639212133177 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: Orange Kid
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	3007882278732007231	0 22 76 120 148 168 178 190 198 210 220 240 268 312 366 388	-1360480125946
SPT(16)	3007882430069795879	0 14 18 30 74 104 108 128 210 230 234 264 308 320 324 338	-1209142337298
STPT(10)	3007882528891855187	0 2 42 44 72 74 102 104 144 146	-1110320277990
STPT(10)	3007883029591565231	0 2 78 80 138 140 198 200 276 278	-609620567946
SPT(16)	3007883034439487483	0 44 48 68 104 126 164 174 230 240 278 300 336 356 360 404	-604772645694
SPT(16)	3007883085570229751	0 8 78 86 126 180 192 308 360 476 488 542 582 590 660 668	-553641903426
STPT(10)	3007883844781848449	0 2 18 20 30 32 42 44 60 62	205569715272
STPT(10)	3007883891540237777	0 2 12 14 42 44 72 74 84 86	252328104600
SPT(16)	3007883996666291893	0 28 30 54 100 106 120 148 156 184 198 204 250 274 276 304	357454158716
SPT(16)	3007884095980218131	0 42 78 92 98 120 146 150 158 162 188 210 216 230 266 308	456768084954
STPT(10)	3007884166046193191	0 2 6 8 18 20 30 32 36 38	526834060014