Prime p₀= 3011429141167332167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Time_Traveler
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	3011427469952033837	0 42 90 92 104 110 144 152 174 182 216 222 234 236 284 326	-1671215298330
TPT(14)	3011427574050939077	0 2 12 14 72 74 84 86 114 116 144 146 180 182	-1567116393090
STPT(10)	3011427822553173731	0 2 36 38 78 80 120 122 156 158	-1318614158436
SPT(16)	3011428347187101671	0 26 42 56 92 140 146 152 156 162 168 216 252 266 282 308	-793980230496
SPT(16)	3011428360814317291	0 12 22 30 42 58 106 130 138 162 210 226 238 246 256 268	-780353014876
SPT(16)	3011428879899327007	0 4 30 52 60 66 150 162 214 226 310 316 324 346 372 376	-261268005160
SPT(16)	3011429312220919399	0 18 40 82 118 120 130 244 258 372 382 384 420 462 484 502	171053587232
SPT(16)	3011429827822525969	0 18 34 60 84 124 150 168 184 202 228 268 292 318 334 352	686655193802
STPT(10)	3011430451794075299	0 2 18 20 30 32 42 44 60 62	1310626743132
SPT(16)	3011430564752265349	0 58 70 72 78 100 148 162 220 234 282 304 310 312 324 382	1423584933182
STPT(10)	3011430756655432841	0 2 36 38 78 80 120 122 156 158	1615488100674