Prime p₀= 4387635943152046727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 70 2 70 2 28 2 (?)
a_n: 0 2 30 32 102 104 174 176 204 206
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: [SG]KidDoesCrunch
db: batch=85, k=10, 2 28 2 70 2

SPT(16)	4387634386975532461	0 30 52 60 82 142 160 202 318 360 378 438 460 468 490 520	-1556176514266
SPT(16)	4387634900195060611	0 6 18 48 60 88 96 126 130 160 168 196 208 238 250 256	-1042956986116
STPT(10)	4387635007972376747	0 2 30 32 72 74 114 116 144 146	-935179669980
STPT(10)	4387635230554551707	0 2 30 32 42 44 54 56 84 86	-712597495020
SPT(16)	4387635656200761061	0 16 30 52 60 76 118 136 192 210 252 268 276 298 312 328	-286951285666
TPT(14)	4387635658740366881	0 2 6 8 78 80 168 170 246 248 396 398 426 428	-284411679846
SPT(16)	4387636179529553491	0 16 22 28 36 52 76 88 90 102 126 142 150 156 162 178	236377506764
SPT(16)	4387636307416285199	0 44 68 108 122 128 150 152 180 182 204 210 224 264 288 332	364264238472
SPT(16)	4387636345181176807	0 16 30 90 150 154 156 180 280 304 306 310 370 430 444 460	402029130080
SPT(16)	4387636527336574199	0 42 44 50 84 120 182 210 284 312 374 410 444 450 452 494	584184527472
SPT(16)	4387636556936650373	0 24 26 54 56 66 74 108 146 180 188 198 200 228 230 254	613784603646