Prime p₀= 3034589481797187047 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	3034588037833314637	0 34 64 100 112 120 142 154 252 264 286 294 306 342 372 406	-1443963872410
SPT(18)	3034588102937566159	0 4 34 84 108 112 138 160 180 202 222 244 270 274 298 348 378 382	-1378859620888
SPT(16)	3034588308974511557	0 2 20 30 72 74 80 102 104 126 132 134 176 186 204 206	-1172822675490
SPT(16)	3034588810554034621	0 10 30 46 60 70 76 90 136 150 156 166 180 196 216 226	-671243152426
STPT(10)	3034589135356032851	0 2 36 38 78 80 120 122 156 158	-346441154196
SPT(13)	3034589368649480329	0 30 42 72 84 90 102 114 120 132 162 174 204	-113147706718
STPT(10)	3034589689842694757	0 2 12 14 72 74 132 134 144 146	208045507710
STPT(10)	3034589816644440881	0 2 30 32 78 80 126 128 156 158	334847253834
STPT(10)	3034589916007270727	0 2 30 32 162 164 294 296 324 326	434210083680
SPT(16)	3034590125023347857	0 42 54 72 84 152 156 182 234 260 264 332 344 362 374 416	643226160810
STPT(10)	3034590170622698417	0 2 30 32 72 74 114 116 144 146	688825511370