Prime p₀= 1020067199611582061 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: stoneageman
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1020064830441997511	0 62 86 120 138 150 176 188 240 252 278 290 308 342 366 428	-2369169584550
STPT(12)	1020065130026958089	0 2 72 74 90 92 180 182 198 200 270 272	-2069584623972
SPT(16)	1020065866494025643	0 26 36 50 78 120 134 140 204 210 224 266 294 308 318 344	-1333117556418
STPT(10)	1020066505022755271	0 2 6 8 48 50 90 92 96 98	-694588826790
SPT(16)	1020066520241947697	0 2 26 32 60 102 116 134 162 180 194 236 264 270 294 296	-679369634364
TPT(14)	1020066956479600301	0 2 18 20 60 62 96 98 156 158 180 182 240 242	-243131981760
STPT(10)	1020067523689702337	0 2 90 92 150 152 210 212 300 302	324078120276
SPT(16)	1020067571429371789	0 22 42 100 172 190 232 288 364 420 462 480 552 610 630 652	371817789728
SPT(16)	1020067709799730667	0 14 32 56 74 102 132 206 210 284 314 342 360 384 402 416	510188148606
SPT(16)	1020067800387781417	0 76 82 90 96 160 174 216 220 262 276 340 346 354 360 436	600776199356
STPT(10)	1020067917009900641	0 2 36 38 78 80 120 122 156 158	717398318580