Prime p₀= 1268998321403371457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: mikey
db: batch=77, k=10, 2 88 2 40 2

SPT(16)	1268997908602044679	0 4 34 102 112 114 154 198 214 258 298 300 310 378 408 412	-412801326778
STPT(12)	1268997922367439419	0 2 42 44 72 74 78 80 108 110 150 152	-399035932038
STPT(10)	1268998187855664389	0 2 12 14 30 32 48 50 60 62	-133547707068
STPT(10)	1268998188640591229	0 2 18 20 30 32 42 44 60 62	-132762780228
SPT(16)	1268998264718973127	0 10 22 36 100 124 132 136 180 184 192 216 280 294 306 316	-56684398330
SPT(16)	1268998299536948347	0 12 42 52 66 70 96 112 180 196 222 226 240 250 280 292	-21866423110
STPT(10)	1268998342269647147	0 2 12 14 72 74 132 134 144 146	20866275690
SPT(16)	1268998685810299109	0 54 74 98 110 164 168 182 210 224 228 282 294 318 338 392	364406927652
STPT(10)	1268998812087555707	0 2 54 56 72 74 90 92 144 146	490684184250
STPT(10)	1268999003421863807	0 2 30 32 60 62 90 92 120 122	682018492350
SPT(16)	1268999603125550479	0 10 28 60 72 154 198 222 280 304 348 430 442 474 492 502	1281722179022