Prime p₀= 1269077223356334827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: mikey
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1269076047302120861	0 72 96 110 116 152 312 320 342 350 510 546 552 566 590 662	-1176054213966
SPT(16)	1269076472329941557	0 20 44 164 230 252 272 296 330 354 374 396 462 582 606 626	-751026393270
STPT(10)	1269076719577910387	0 2 60 62 72 74 84 86 144 146	-503778424440
STPT(10)	1269076900637746199	0 2 18 20 30 32 42 44 60 62	-322718588628
SPT(13)	1269076905769732937	0 12 30 54 72 114 132 150 192 210 234 252 264	-317586601890
TPT(14)	1269076979979240281	0 2 36 38 90 92 120 122 150 152 258 260 288 290	-243377094546
SPT(16)	1269077231913747247	0 46 52 66 94 106 136 150 166 180 210 222 250 264 270 316	8557412420
SPT(16)	1269077465287625267	0 14 32 74 86 114 126 156 170 200 212 240 252 294 312 326	241931290440
STPT(10)	1269077664181130981	0 2 78 80 168 170 258 260 336 338	440824796154
SPT(16)	1269078023962639733	0 30 108 138 150 164 170 188 216 234 240 254 266 296 374 404	800606304906
STPT(10)	1269078517628791349	0 2 18 20 30 32 42 44 60 62	1294272456522