Prime p₀= 1271999403644958797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: HenkM
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1271998911592561091	0 2 36 38 78 80 120 122 156 158	-492052397706
SPT(16)	1271998920706894231	0 10 36 48 102 108 112 120 178 186 190 196 250 262 288 298	-482938064566
SPT(16)	1271998945391098403	0 6 26 90 120 150 164 168 176 180 194 224 254 318 338 344	-458253860394
STPT(10)	1271998991817129839	0 2 48 50 90 92 132 134 180 182	-411827828958
SPT(16)	1271999148202180213	0 60 124 190 210 238 298 316 348 366 426 454 474 540 604 664	-255442778584
SPT(16)	1271999328333255799	0 18 28 30 82 102 118 132 208 222 238 258 310 312 322 340	-75311702998
SPT(16)	1271999460712151999	0 20 120 158 170 188 210 224 318 332 354 372 384 422 522 542	57067193202
TPT(14)	1272000098476690181	0 2 96 98 156 158 186 188 198 200 216 218 306 308	694831731384
STPT(10)	1272000131811823829	0 2 18 20 30 32 42 44 60 62	728166865032
SPT(16)	1272000363888471947	0 20 30 42 74 164 182 204 212 234 252 342 374 386 396 416	960243513150
SPT(16)	1272000639185308729	0 48 112 118 120 142 190 204 208 222 270 292 294 300 364 412	1235540349932