Prime p₀= 2589694483962546137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: Chaunton
db: batch=82, k=10, 2 58 2 10 2

STPT(10)	2589693300169586657	0 2 12 14 72 74 132 134 144 146	-1183792959480
SPT(16)	2589693302465749817	0 32 44 60 74 84 86 96 140 150 152 162 176 192 204 236	-1181496796320
SPT(16)	2589693385422538091	0 6 12 26 30 50 72 78 110 116 138 158 162 176 182 188	-1098540008046
SPT(16)	2589694043437805581	0 12 16 40 72 76 90 106 132 148 162 166 198 222 226 238	-440524740556
SPT(16)	2589694149596810419	0 18 114 160 174 198 202 234 238 270 274 298 312 358 454 472	-334365735718
STPT(10)	2589694411331248097	0 2 30 32 60 62 90 92 120 122	-72631298040
STPT(10)	2589694557808402139	0 2 18 20 30 32 42 44 60 62	73845856002
SPT(16)	2589694699105530343	0 6 28 34 66 96 108 126 178 196 208 238 270 276 298 304	215142984206
STPT(10)	2589694906798069979	0 2 18 20 30 32 42 44 60 62	422835523842
STPT(10)	2589695288431164911	0 2 6 8 48 50 90 92 96 98	804468618774
TPT(14)	2589695449136391779	0 2 42 44 78 80 138 140 162 164 198 200 282 284	965173845642