Prime p₀= 2135277158012317931 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: 278
Found by: Landjunge
db: batch=80, k=10, 2 124 2 10 2

SPT(16)	2135275748268840601	0 6 12 40 88 90 100 106 222 228 238 240 288 316 322 328	-1409743477330
STPT(10)	2135275941362687951	0 2 36 38 78 80 120 122 156 158	-1216649629980
STPT(10)	2135276213349580121	0 2 6 8 18 20 30 32 36 38	-944662737810
SPT(16)	2135276459417054549	0 14 24 30 72 102 120 150 212 242 260 290 332 338 348 362	-698595263382
TPT(14)	2135276690919454079	0 2 18 20 48 50 138 140 228 230 270 272 348 350	-467092863852
STPT(10)	2135276964612145139	0 2 30 32 60 62 90 92 120 122	-193400172792
SPT(16)	2135277516358931159	0 12 62 68 90 102 108 164 168 224 230 242 264 270 320 332	358346613228
SPT(16)	2135277563283446381	0 60 78 92 108 140 176 182 186 192 228 260 276 290 308 368	405271128450
SPT(16)	2135277602231939063	0 48 170 216 236 240 246 248 306 308 314 318 338 384 506 554	444219621132
SPT(16)	2135277736229264537	0 26 44 50 56 74 84 92 144 152 162 180 186 192 210 236	578216946606
STPT(10)	2135278193122690739	0 2 12 14 30 32 48 50 60 62	1035110372808