Prime p₀= 1126382797189852721 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: crashtech
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1126381626321975299	0 72 84 90 92 132 168 182 210 224 260 300 302 308 320 392	-1170867877422
STPT(10)	1126381754860480577	0 2 30 32 42 44 54 56 84 86	-1042329372144
STPT(10)	1126382205104913899	0 2 18 20 30 32 42 44 60 62	-592084938822
SPT(16)	1126382386469298631	0 28 106 126 136 138 148 150 166 168 178 180 190 210 288 316	-410720554090
SPT(16)	1126382526835477927	0 4 22 36 54 60 114 162 214 262 316 322 340 354 372 376	-270354374794
STPT(10)	1126382558012989271	0 2 36 38 78 80 120 122 156 158	-239176863450
STPT(10)	1126383074691101327	0 2 90 92 102 104 114 116 204 206	277501248606
SPT(16)	1126383530263980347	0 30 32 56 60 66 90 116 216 242 266 272 276 300 302 332	733074127626
TPT(14)	1126383532856379401	0 2 36 38 48 50 258 260 366 368 420 422 498 500	735666526680
SPT(16)	1126383583326574171	0 46 58 60 70 78 88 96 172 180 190 198 208 210 222 268	786136721450
SPT(16)	1126383828123956111	0 6 20 30 50 66 72 120 218 266 272 288 308 318 332 338	1030934103390