Prime p₀= 3035353895080937201 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	3035352714655557139	0 28 34 60 64 100 148 250 288 390 438 474 478 504 510 538	-1180425380062
SPT(16)	3035353047497363081	0 2 32 42 48 80 86 90 98 102 108 140 146 156 186 188	-847583574120
SPT(16)	3035353218228720247	0 22 66 94 190 196 202 222 244 264 270 276 372 400 444 466	-676852216954
STPT(10)	3035353348401373787	0 2 12 14 72 74 132 134 144 146	-546679563414
SPT(16)	3035353484046646193	0 44 56 110 134 138 140 210 224 294 296 300 324 378 390 434	-411034291008
STPT(10)	3035353533109407161	0 2 36 38 78 80 120 122 156 158	-361971530040
STPT(10)	3035353911450363947	0 2 42 44 132 134 222 224 264 266	16369426746
SPT(16)	3035354581458241331	0 48 60 86 108 170 176 200 216 240 246 308 330 356 368 416	686377304130
SPT(16)	3035354649383045651	0 12 48 60 72 102 158 182 186 210 266 296 308 320 356 368	754302108450
TPT(14)	3035354900603839907	0 2 132 134 210 212 300 302 324 326 330 332 450 452	1005522902706
STPT(10)	3035354912487436337	0 2 30 32 42 44 54 56 84 86	1017406499136