Prime p₀= 2122345960357999589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Chooka
db: batch=80, k=10, 2 46 2 40 2

SPT(16)	2122344362237833499	0 8 12 84 90 110 120 132 140 152 162 182 188 260 264 272	-1598120166090
STPT(10)	2122344416433355481	0 2 6 8 48 50 90 92 96 98	-1543924644108
SPT(16)	2122344516521681299	0 4 24 52 70 72 78 130 162 214 220 222 240 268 288 292	-1443836318290
STPT(10)	2122344594120586247	0 2 24 26 42 44 60 62 84 86	-1366237413342
SPT(16)	2122345450413490079	0 12 68 72 114 120 144 170 192 218 242 248 290 294 350 362	-509944509510
SPT(16)	2122345798742179177	0 24 82 150 166 214 252 270 286 304 342 390 406 474 532 556	-161615820412
SPT(16)	2122346074902189133	0 6 34 40 70 96 100 114 130 144 148 174 204 210 238 244	114544189544
STPT(10)	2122346292891757451	0 2 36 38 78 80 120 122 156 158	332533757862
TPT(14)	2122346650693095257	0 2 54 56 132 134 144 146 222 224 252 254 324 326	690335095668
STPT(10)	2122347433249603487	0 2 30 32 72 74 114 116 144 146	1472891603898
STPT(10)	2122347868392315437	0 2 30 32 42 44 54 56 84 86	1908034315848