Prime p₀= 2398973446982296661 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: [SG-FC] hl
db: batch=82, k=10, 2 76 2 58 2

SPT(16)	2398971803779382317	0 10 16 52 82 132 142 220 222 300 310 360 390 426 432 442	-1643202914344
STPT(10)	2398971900520899677	0 2 30 32 42 44 54 56 84 86	-1546461396984
STPT(10)	2398972031294024897	0 2 42 44 72 74 102 104 144 146	-1415688271764
SPT(16)	2398972230828086561	0 6 32 60 62 140 162 176 186 200 222 300 302 330 356 362	-1216154210100
SPT(16)	2398972432919591279	0 24 44 50 78 84 128 158 174 204 248 254 282 288 308 332	-1014062705382
STPT(10)	2398972715695443617	0 2 30 32 72 74 114 116 144 146	-731286853044
STPT(10)	2398973644098119447	0 2 60 62 72 74 84 86 144 146	197115822786
SPT(16)	2398973905331908769	0 14 18 20 50 60 68 134 138 204 212 222 252 254 258 272	458349612108
STPT(12)	2398974363129292589	0 2 90 92 132 134 168 170 210 212 300 302	916146995928
STPT(10)	2398974497548827461	0 2 6 8 48 50 90 92 96 98	1050566530800
STPT(10)	2398974782801187359	0 2 18 20 30 32 42 44 60 62	1335818890698