Prime p₀= 1086952623280567787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: crashtech
db: batch=76, k=10, 2 70 2 28 2

STPT(12)	1086952100499119117	0 2 72 74 84 86 90 92 102 104 174 176	-522781448670
STPT(10)	1086952190806771979	0 2 18 20 30 32 42 44 60 62	-432473795808
STPT(10)	1086952248730699199	0 2 30 32 60 62 90 92 120 122	-374549868588
SPT(16)	1086952357314738751	0 42 48 58 90 96 130 162 166 198 232 238 270 280 286 328	-265965829036
STPT(10)	1086952432542127421	0 2 6 8 48 50 90 92 96 98	-190738440366
SPT(16)	1086952532951735507	0 26 72 80 150 156 192 194 252 254 290 296 366 374 420 446	-90328832280
SPT(18)	1086952870282457597	0 20 30 42 90 96 150 170 182 324 336 356 410 416 464 476 486 506	247001889810
SPT(16)	1086953006200278367	0 34 52 54 72 76 82 150 226 294 300 304 322 324 342 376	382919710580
STPT(10)	1086953031423599309	0 2 12 14 30 32 48 50 60 62	408143031522
STPT(10)	1086953342949594707	0 2 30 32 72 74 114 116 144 146	719669026920
SPT(16)	1086953465987719721	0 32 42 62 72 108 128 158 180 210 230 266 276 296 306 338	842707151934