Prime p₀= 1079158026619533557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: Theadalus
db: batch=76, k=10, 2 28 2 40 2

SPT(16)	1079156942518761961	0 18 30 40 106 162 226 232 246 252 316 372 438 448 460 478	-1084100771596
STPT(10)	1079157268596574511	0 2 36 38 78 80 120 122 156 158	-758022959046
SPT(16)	1079157383309362363	0 10 30 66 70 76 96 114 136 154 174 180 184 220 240 250	-643310171194
SPT(16)	1079157687806303107	0 10 36 70 90 112 136 162 274 300 324 346 366 400 426 436	-338813230450
STPT(10)	1079157827283488879	0 2 12 14 90 92 168 170 180 182	-199336044678
STPT(10)	1079157984306979271	0 2 30 32 78 80 126 128 156 158	-42312554286
SPT(16)	1079158119864519523	0 10 48 54 66 70 90 96 148 154 174 178 190 196 234 244	93244985966
STPT(10)	1079158164469886531	0 2 30 32 60 62 90 92 120 122	137850352974
SPT(16)	1079158180240865299	0 60 82 130 180 222 232 240 280 288 298 340 390 438 460 520	153621331742
SPT(16)	1079158650806203423	0 46 60 108 186 210 264 268 306 310 364 388 466 514 528 574	624186669866
SPT(16)	1079158907707179163	0 28 34 36 90 106 184 210 244 270 348 364 418 420 426 454	881087645606