Prime p₀= 2102279549874917597 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: Landjunge
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2102277781048265201	0 36 50 56 68 86 96 98 120 122 132 150 162 168 182 218	-1768826652396
STPT(10)	2102278073840363369	0 2 18 20 30 32 42 44 60 62	-1476034554228
SPT(16)	2102278525184869579	0 10 70 130 144 160 174 192 220 238 252 268 282 342 402 412	-1024690048018
SPT(16)	2102278561469548961	0 50 90 98 108 116 120 132 176 188 192 200 210 218 258 308	-988405368636
STPT(10)	2102278680779806349	0 2 18 20 30 32 42 44 60 62	-869095111248
SPT(16)	2102279362558476571	0 10 16 46 60 72 78 88 120 130 136 148 162 192 198 208	-187316441026
STPT(10)	2102279612685876047	0 2 54 56 72 74 90 92 144 146	62810958450
STPT(10)	2102280334255246469	0 2 42 44 60 62 78 80 120 122	784380328872
STPT(10)	2102280976686422447	0 2 24 26 42 44 60 62 84 86	1426811504850
SPT(16)	2102281041328741223	0 20 48 80 96 108 140 174 230 264 296 308 324 356 384 404	1491453823626
SPT(16)	2102281250346472513	0 10 16 36 64 90 126 154 156 184 220 246 274 294 300 310	1700471554916