Prime p₀= 4305618975688839617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Chooka
db: batch=85, k=10, 2 10 2 58 2

STPT(10)	4305617695068489851	0 2 6 8 18 20 30 32 36 38	-1280620349766
SPT(16)	4305617819942339581	0 6 10 16 28 30 42 72 106 136 148 150 162 168 172 178	-1155746500036
SPT(16)	4305618014146189159	0 18 30 34 48 70 72 100 102 130 132 154 168 172 184 202	-961542650458
STPT(10)	4305618468384853559	0 2 18 20 30 32 42 44 60 62	-507303986058
SPT(16)	4305618673624365989	0 14 38 78 80 84 104 140 162 198 218 222 224 264 288 302	-302064473628
SPT(16)	4305618826501910221	0 10 12 58 96 142 192 196 222 226 276 322 360 406 408 418	-149186929396
STPT(10)	4305619128179877791	0 2 6 8 48 50 90 92 96 98	152491038174
STPT(10)	4305619214919153977	0 2 24 26 42 44 60 62 84 86	239230314360
SPT(16)	4305619283407948151	0 2 8 20 42 48 62 90 128 156 170 176 198 210 216 218	307719108534
STPT(10)	4305619350756736799	0 2 48 50 90 92 132 134 180 182	375067897182
STPT(10)	4305619561761947201	0 2 48 50 108 110 168 170 216 218	586073107584