Prime p₀= 1248504898390867301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: vinn@[CNT]
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1248503784533146541	0 38 86 200 206 218 228 288 290 350 360 372 378 492 540 578	-1113857720760
SPT(16)	1248503802686126627	0 20 156 182 194 240 246 264 302 320 326 372 384 410 546 566	-1095704740674
SPT(16)	1248503846555493637	0 54 96 106 156 180 186 214 222 250 256 280 330 340 382 436	-1051835373664
STPT(10)	1248504145817963777	0 2 12 14 42 44 72 74 84 86	-752572903524
SPT(16)	1248504451655861891	0 36 50 60 86 110 128 138 140 150 168 192 218 228 242 278	-446735005410
STPT(10)	1248504572166847901	0 2 6 8 48 50 90 92 96 98	-326224019400
SPT(16)	1248504989078840489	0 2 20 38 50 90 98 120 140 162 170 210 222 240 258 260	90687973188
TPT(14)	1248505253309318567	0 2 12 14 24 26 120 122 162 164 294 296 300 302	354918451266
STPT(10)	1248505278879831521	0 2 6 8 48 50 90 92 96 98	380488964220
SPT(16)	1248505578380557451	0 30 38 80 108 120 128 132 206 210 218 230 258 300 308 338	679989690150
SPT(18)	1248506038893481397	0 24 44 86 150 156 162 176 182 234 240 254 260 266 330 372 392 416	1140502614096