Prime p₀= 1458656091354613979 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: [SG-2W]Kurzer
db: batch=78, k=10, 2 40 2 16 2

TPT(14)	1458655507931331431	0 2 36 38 66 68 78 80 138 140 150 152 168 170	-583423282548
STPT(10)	1458655624489262621	0 2 36 38 78 80 120 122 156 158	-466865351358
STPT(10)	1458655639227279917	0 2 54 56 72 74 90 92 144 146	-452127334062
STPT(10)	1458655715568507227	0 2 30 32 72 74 114 116 144 146	-375786106752
SPT(16)	1458655748881095763	0 40 48 78 84 96 120 130 204 214 238 250 256 286 294 334	-342473518216
STPT(10)	1458656014738832807	0 2 42 44 72 74 102 104 144 146	-76615781172
STPT(10)	1458656148689651279	0 2 18 20 30 32 42 44 60 62	57335037300
TPT(14)	1458656283661740047	0 2 42 44 54 56 84 86 150 152 342 344 372 374	192307126068
STPT(10)	1458656287216641167	0 2 30 32 72 74 114 116 144 146	195862027188
SPT(13)	1458656346910912631	0 18 48 60 102 108 150 192 198 240 252 282 300	255556298652
TPT(14)	1458656548757317277	0 2 30 32 54 56 102 104 132 134 222 224 264 266	457402703298