Prime p₀= 1025429240853289157 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: HenkM
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1025428350156104753	0 18 24 56 74 78 126 134 150 158 206 210 228 260 266 284	-890697184404
TPT(14)	1025428459198142861	0 2 36 38 66 68 78 80 108 110 120 122 156 158	-781655146296
STPT(10)	1025428687904501717	0 2 90 92 132 134 174 176 264 266	-552948787440
STPT(10)	1025428731146002607	0 2 30 32 72 74 114 116 144 146	-509707286550
STPT(10)	1025428743296697767	0 2 30 32 42 44 54 56 84 86	-497556591390
SPT(16)	1025428897497673001	0 6 20 32 42 50 86 90 98 102 138 146 156 168 182 188	-343355616156
STPT(10)	1025429562065109821	0 2 6 8 48 50 90 92 96 98	321211820664
SPT(16)	1025429672774192951	0 38 56 90 96 108 128 132 146 150 170 182 188 222 240 278	431920903794
STPT(10)	1025429752509162989	0 2 18 20 30 32 42 44 60 62	511655873832
TPT(14)	1025429952529488419	0 2 42 44 60 62 90 92 102 104 180 182 198 200	711676199262
SPT(16)	1025430174597889327	0 22 24 42 46 60 66 72 94 100 106 120 124 142 144 166	933744600170