Prime p₀= 1062353749127383577 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: Skivelitis2
db: batch=76, k=10, 2 10 2 58 2

SPT(16)	1062353030687813069	0 2 44 50 62 74 78 102 230 254 258 270 282 288 330 332	-718439570508
STPT(10)	1062353036609204297	0 2 60 62 72 74 84 86 144 146	-712518179280
SPT(16)	1062353336696375539	0 34 40 78 88 118 124 144 274 294 300 330 340 378 384 418	-412431008038
TPT(14)	1062353625739019501	0 2 30 32 60 62 108 110 156 158 186 188 240 242	-123388364076
STPT(10)	1062353625739019531	0 2 30 32 78 80 126 128 156 158	-123388364046
SPT(16)	1062353662781156519	0 14 30 48 102 104 132 134 138 140 168 170 224 242 258 272	-86346227058
STPT(10)	1062354079806017681	0 2 156 158 168 170 180 182 336 338	330678634104
TPT(14)	1062354131271105527	0 2 72 74 192 194 204 206 264 266 282 284 390 392	382143721950
STPT(10)	1062354508451253299	0 2 18 20 60 62 102 104 120 122	759323869722
STPT(10)	1062354540869654531	0 2 36 38 78 80 120 122 156 158	791742270954
SPT(16)	1062355076351553043	0 24 54 78 108 166 174 180 274 280 288 346 376 400 430 454	1327224169466