Prime p₀= 2524094906392145687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Hightower
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2524093790849751937	0 4 10 12 42 60 90 102 154 166 196 214 244 246 252 256	-1115542393750
SPT(16)	2524094169929371939	0 12 28 30 34 42 82 100 102 120 160 168 172 174 190 202	-736462773748
SPT(16)	2524094236517310647	0 2 12 26 42 56 80 92 144 156 180 194 210 224 234 236	-669874835040
STPT(10)	2524094440455246689	0 2 18 20 30 32 42 44 60 62	-465936898998
SPT(16)	2524094472819002407	0 24 60 76 90 130 214 234 262 282 366 406 420 436 472 496	-433573143280
SPT(16)	2524094786883771623	0 18 56 60 78 84 86 110 144 168 170 176 194 198 236 254	-119508374064
STPT(10)	2524095064884676991	0 2 36 38 78 80 120 122 156 158	158492531304
STPT(10)	2524095642083927237	0 2 42 44 72 74 102 104 144 146	735691781550
STPT(10)	2524095742440037889	0 2 12 14 30 32 48 50 60 62	836047892202
TPT(14)	2524095865511375567	0 2 42 44 144 146 282 284 360 362 432 434 474 476	959119229880
STPT(12)	2524096405654902077	0 2 30 32 72 74 192 194 234 236 264 266	1499262756390