Prime p₀= 1025430366233012651 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: HenkM
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1025429672774192951	0 38 56 90 96 108 128 132 146 150 170 182 188 222 240 278	-693458819700
STPT(10)	1025429752509162989	0 2 18 20 30 32 42 44 60 62	-613723849662
TPT(14)	1025429952529488419	0 2 42 44 60 62 90 92 102 104 180 182 198 200	-413703524232
SPT(16)	1025430174597889327	0 22 24 42 46 60 66 72 94 100 106 120 124 142 144 166	-191635123324
SPT(16)	1025430312519648509	0 50 84 90 92 104 122 140 144 162 180 192 194 200 234 284	-53713364142
STPT(10)	1025430313374521447	0 2 42 44 162 164 282 284 324 326	-52858491204
STPT(10)	1025430420900366389	0 2 18 20 30 32 42 44 60 62	54667353738
STPT(10)	1025430599062908581	0 2 6 8 48 50 90 92 96 98	232829895930
STPT(10)	1025430628103101607	0 2 72 74 102 104 132 134 204 206	261870088956
SPT(16)	1025430720693479123	0 18 50 56 86 90 170 188 228 246 326 330 360 366 398 416	354460466472
STPT(10)	1025430796888277627	0 2 12 14 42 44 72 74 84 86	430655264976