Prime p₀= 1260800882346507947 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)	1260799602447748577	0 12 30 56 62 74 96 120 236 260 282 294 300 326 344 356	-1279898759370
SPT(16)	1260800170684327979	0 2 44 60 80 84 90 132 140 182 188 192 212 228 270 272	-711662179968
SPT(16)	1260800230886803729	0 52 94 108 132 154 160 210 232 282 288 310 334 348 390 442	-651459704218
SPT(16)	1260800328658246807	0 22 46 60 84 90 112 124 252 264 286 292 316 330 354 376	-553688261140
STPT(10)	1260800618727803969	0 2 48 50 90 92 132 134 180 182	-263618703978
SPT(16)	1260800698072465943	0 24 30 38 60 78 86 120 164 198 206 224 246 254 260 284	-184274042004
SPT(16)	1260801012816124331	0 32 62 132 188 198 242 272 318 348 392 402 458 528 558 590	130469616384
STPT(10)	1260801048697979597	0 2 54 56 72 74 90 92 144 146	166351471650
SPT(16)	1260801175145778569	0 2 24 30 50 78 114 212 240 338 374 402 422 428 450 452	292799270622
SPT(16)	1260801294696251683	0 58 114 154 156 168 180 190 204 214 226 238 240 280 336 394	412349743736
TPT(14)	1260801501700837517	0 2 24 26 114 116 180 182 222 224 234 236 252 254	619354329570